Often women are more fertile right after a lap. As for the tube, I asked my gynae as I potentially may have lost an ovary (but didn't) and he said it actually does not cut fertility in half. The body simply realises and the other ovary takes over. Though you haven't said you lost your ovary, only tube. Perhaps it might be different if the ovary is still intact and functioning.
Sorry that hasn't been alot of help!

And welcome!