Mindon Eldaliéva was the high white tower of King Ingwë of the Vanyar, rising above the houses and halls of Tirion, the great city of the High Elves in Aman. In the courts below the Mindon (the tower is often simply referred to as the Mindon) grew the silver-white tree Galathilion. Far above the courts, high in the Tower, a silver lantern was housed, whose light shone far across the Sea and along the dim shores beneath the Pelóri Mountains.
It was beneath the Tower that Fëanor gathered the Noldor after the Darkening of Valinor, and there he swore the Oath of Fëanor with his sons. From the courts, the Noldor marched after Fëanor into exile, and it is said that their last sight of the fair lands of Aman was the shining beacon of the Mindon Eldaliéva. Having left its light far behind, the Noldor were given the terrifying Doom of Mandos, laying a curse on them if they continued their journey into exile. Fëanor and his followers marched on, but Finarfin gave up the journey there, and led many of his people back into the south, where they were greeted once again by the high lantern of the Tower.
Mindon Eldaliéva means "(Our) Tower of the Eldar" in Quenya (from mindon = "lofty tower", Eldalië = alternative term for "Eldar", and -va = possessive ending). The possessive ending implies an exclusive, sacred place.