The name of Hercules' father in ancient Greek myths is Zeus.
This refers to the collection of stories that talk about the Greek belief in gods, heroes, rituals, etc, and are an important part of folklore.
The famous ancient Greek poem that describes the latest events of the Trojan War is The Iliad by Homer as he details the Trojan War, the involvement of King Agammnemon, Odysseus, Prince Paris, and many others.
Read more about the Trojan War here:
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