What is the main conflict in Phaedrus by Plato?

Socrates runs into Phaedrus outside Athens, who follows his exercising routine suggested by their common friend and doctor Acumenus. Phaedrus has just left Lysias, son of Cephalus, a well known rhetorician and his lover, who gave a speech on love. Socrates convinces Phaedrus to share its details in a discourse. They analyze the content of the speech and the manner in which it is written.