I'd say "Desperation" or "Borrowed Time" sounds like a good name.
IMO, this looks like that kind of card you'd want to play when you get a bad hand or have 1 or 2 useless cards you want to ditch. The upped version would've normally made me go "huh?", but with the implmenting of GotP, it can become a deadly card when used correctly, as well as forcing a deck out on opponent's who rely on Eternity.
Both cards force you to try to and play it last in your turn - the unupped drains all time quanta, while the upped Silences you. While the upped's drawback may seem a little odd, but when I consider the fact you save your time quanta, it makes sense.
Balanced, I suppose, as when compared to Precog you'll have a tendency to lose less, but it's useful in more situations than Precog.
One other thing - in the "Element" section of your table, change "
" to the word "Time", the mark icons are used to only represent the cost in this table.