Talking to my dad about the pill

So my period comes very infrequently, and I’m at the point where it needs to be fairly regular. I’m currently 16 and got my period when I was 12. I went to the obgyn with my mom about 4 months ago, and the gynecologist recommended the pill. My mom wasn’t very enthusiastic about it, but willing. She told me I had to talk to my dad about it.

My dad is a very awkward guy, and gets uncomfortable about this stuff and starts making jokes and not being serious about it to try and ease the tension. So I haven’t been able to build enough confidence to bring it up because I feel like it’ll become a joke or get mocked.

How can I bring this up to him, and make sure he is serious about it?