Since it wasn't actually a 'reckless' ticket, your situation is much improved, even though that was one heck of a fine. Sounds like you were lucky to get off with just a big fine.
You'll need to include full documentation of the citation's disposition when you need in your N-400, and almost certainly a good idea to take the same info to your interview.
You'll need to include full documentation of the citation's disposition when you need in your N-400, and almost certainly a good idea to take the same info to your interview.