In this case 'eggs' refers to the testicles. The expression is used to rate something like "heavy, unbearable, extremely annoying". See orgyalgia, swells, break the balls, break patience.
PAIN OF OVA Discomfort in the testicles . In Chile : Figuratively, anguish : This demand gives me egg pain. In Costa Rica is a delicate person and in Nicaragua : Annoying, annoying, daring person