I headcanon Lena as a big nerd, just as much as Katie so I think she would love Star Wars quite a lot. I bet she has thought about naming her children Luke and Leia, especially because it works with the whole L.L. thing. I don't know if Kara would like that though
Or… If they had a daughter they could name her Lexa. It would be a cute tribute to both Alex and Lex. It would work better if Lex wasn’t bad but still cute
lena luthor is the biggest nerd you’ll ever meet
she’s so ridiculously passionate about it and everything she likes and it’s incredible funny (and annoying) to let her and winn together (nobody will ever forget that one incident where they had a discussion of epic proportions of which was better, star wars or star trek (lena won, star wars is better) or that one time they spent two consecutive game nights without talking to each other because they had a disagreement when they were playing a video game).
lena quoting all the classics (movies and literature alike) and giving herself peep talks based on speeches from her favorite characters.
don’t tell anyone but she has a collection of star wars themed stuff. like mugs, posters, action figurines, shirts (her favorite is one with darth vader, he’s pointing and “the empire needs you” is written underneath him)… at one point she briefly considered trying to build her own version of the millennium falcon but that rly didn’t turn out well for her.
when she’s younger, when being a luthor isn’t so bad, when lex still hasn’t turned mad, she wants to have twins so she can name them luke and leia, where they’ll be loved and cared for, will know the best things in life and won’t ever go a day without love and attention, won’t have to discover what’s it like to grow up without their parents.
she grows up and the name luthor starts getting more infamous, harder to bear, and when lex turns mad, she mourns for the children she never had and thinks she won’t ever have, because she’ll never want for their children to suffer like she’s suffering just because of their last name.
she meets kara and she discovers how it is to be loved, appreciated and cared for. she finds out the wonderful feeling of someone loving you because of you are, despite of your flaws. she rediscovers the feeling of being teased in a loving manner, something she only had with lex - her lex, the one from before - and kara’s “you’re such a nerd, lee” always gives her a rush, makes her heart beat faster and her cheeks blush, even if she acts annoyed (everyone can see she’s fighting off a smile)
she and kara grow more intimate, more comfortable, and by this points they know basically everything there’s to know about each other.
when kara found out she wanted to have twins so she could name them luke and leia, she laughed and called lena cute. when she found out lena’s motives and how she had given up on it, her gaze grew impossibly serious and sad. she gathered lena in her arms and hugged her fiercely, as tightly as she dared.
later, when they’re already cuddling in bed, kara hesitates a moment before saying “we could name him luke… if we had a son. but i was thinking about lexa, in case we had a daughter. you know, because of alex and um.. lex”
lena feels like her heart stopped beating and she doesn’t know how long she stays without breathing, but the next things she knows is she has already turned around and has her face pressed in kara’s shoulder, her tears soaking the blonde’s shirt. she murmurs a soft “thank you” and kara responded by squeezing her just a bit tighter, a movement that at this point lena knows mean ‘you’re welcome’, ‘anything for you’ and 'i love you’ combined, but also so many others things that neither are capable of putting into words.