Egg donation and menopause? any doctors out there???

Do you know if there is a link between early menopause and egg donation. I donated eggs twice and never regretted it, but I have heard that menopause happens when you run out of eggs. Do we only have a set amount of eggs through our child bearing years or is the amount of eggs linked to hormone production?? IE born with for example 10,000 eggs so menopause will be at such and such a time BUT I have given away - lets say 50 - so have I bought forward my menopause by giving these 50 away. Just curious and all sensible answers most welcome.