The lunar module that carried Apollo 11 astronauts down to the Moon was named Eagle.
Eagle was the lunar module, or LM-5, assigned to Apollo 11. Neil Armstrong and Buzz Aldrin flew it from lunar orbit to the surface on July 20, 1969, while Michael Collins remained in lunar orbit aboard the command module Columbia. Eagle landed at Tranquility Base in the Sea of Tranquility.
The name had both mission-specific and national symbolism. Apollo 11’s insignia showed a bald eagle carrying an olive branch, representing a peaceful lunar mission. The craft’s name also produced Armstrong’s famous radio message, “The Eagle has landed,” after touchdown.
Eagle had separate descent and ascent stages. The descent stage carried the astronauts to the surface and remained there; the ascent stage lifted Armstrong and Aldrin back into lunar orbit on July 21. This is why answers such as Aquarius or Antares are wrong: those names belonged to lunar modules from other Apollo missions.