Beacon of Immortality

• WWizards of the Coast2007-02-01
  Official Ruling
  If you double a negative life total, you do the real math. A life total of -10 becomes -20.
• WWizards of the Coast2007-07-15
  Official Ruling
  If a Beacon is countered or doesn’t resolve, it’s put into its owner’s graveyard, not shuffled into the library.
• WWizards of the Coast2007-07-15
  Official Ruling
  Beacon of Immortality’s effect counts as life gain (or life loss, if the life total was negative) for effects that trigger on or replace life gain (or life loss).

Rulings via Scryfall