If I remember correctly, scyphozoa are diecious and have external fertilization so it would be hard to get any reproduction rate or # of eggs successfully fertilized per individual. The attached paper might help get you closer to your answer...

Thank you very much for your interest and for attaching the paper - you are right it is very relevant to the question. Unfortunately, I cannot find inside any estimate for the number of eggs produced- if anyone else has some idea I am still very interested :-)

Is is the actual number of eggs a female can produce which is of interest; the process of fertilization is not my focus at the moment.

Kind regards

It seems that you have the lead in this line of research.

I suggest an in vitro experiment if you can.

This might help:

Carvhalo 2012 Fecundidad de la medusa Stomolophus meleagris

Biología reproductiva de la medusa bola de cañón (Carvhalo-Saucedo et al)