Depends if you see them as bird-like or reptile-like.
Some birds will lay eggs even if not fertilized. Some will not.
Reptiles, to the best of my knowledge, do not lay unfertilized eggs.
Now, how often would they come into "heat," as it were? Probably once per year. With reptiles, mating often has to do with environmental factors that come once per year. If you are breeding them, you can mimic these factors in your artificial habitat and get them to breed more than once per year.