My question involves paternity law for the State of: California

The facts of my case are complex and I hope I can get some honest unbiased opinions.
I began an affair with a married woman last year. She became pregnant and ultimately gave birth to a healthy baby girl 2 weeks ago. The baby is clearly mine due to ethnicity differences. The entire pregnancy I was being led to believe that I would be a part of my daughters life. It's what her and I both wanted. Long story short, I was not even allowed to be at the hospital for her birth not have I even been able to see my daughter in person. I have been sent pictures though. Maybe this is what I get and deserve for any pain I may have caused others.

However, her and I both agree that I need to be a part of her life. The only person getting in the way is obviously her husband, understandably. What options do I have as of right now to at least establish some form of parental rights?

Thank you for reading and if anyone requires more in depth facts please let me know.