Summoner's egg and Eater of Days

[Cancerman]

When i cast Summoner's Egg, i imprint Eater of Days.
Now, when the Egg goes into the graveyard, Eater of Days comes into play. Does Eater of Days make me lose the next 2 turns, or is the "comes into play" rule ignored?

Thank you in advance!

[Ephraim]

You would lose two turns. The turning of the card face up isn't the same as a creature with Morph or something put into play with Illusionary Mask turning face up. It is simply revealing the card that had been removed from the game, to confirm that it is a creature. Eater of Days doesn't say 'When ~this~ comes into play from your hand...' so regardless of how it gets into play, you lose two turns.

EDIT: I realize I was a little bit unclear. Eater of Days' penalty only applies if it is face up when it comes into play. Putting it into play with Illusionary Mask would avoid the penalty, the same way that it avoids the penalty with Phyrexian Dreadnought. It is for that reason that the creature put into play with Summoner's Egg is turned face up while it's still outside of the game, then put into play. It is so that any comes-into-play effects of the creature will trigger.

[Limbo]

The lines of text we need to look at are pasted down here:

When Summoner's Egg is put into a graveyard from play, turn the imprinted face-down card face up. If that card is a creature card, put it into play under your control.

When Eater of Days comes into play, you skip your next two turns.

Although the first textline would suggest flipping over of the card (which would result in a no-turnloss fatty), the second line instructs you to put it into play, hence triggering the turnloss from eater of days. You could put the eater of days into play with an illusionary mask, but I am sure you could better use a phyrexian dreadnought to abuse that card.

Edit: Ephraim beat me to answering the question

[Cancerman]

Thanks guys!