After an at fault car accident, should I let my insurance company give my coverage info to the other party?

I was involved in an accident 4 months ago in California, and I was noted as at fault by the insurance company (turning left, and hitting a bike without reflectors). I have $50,000 in bodily injury. I own my home and my car is an old 1995 honda civic. My insurance company is asking if I allow my coverage information to be provided to the person's attorney. Should I allow my coverage information to be provided?