I have an E15 (E5-571-37SY) with what looks like the same symptom. Mine is *not* touchscreen. It's got Windows 8.1 64-bit.
I've been struggling with it since earlier in the week. I put it to sleep, when trying to resume it later, I started getting these symptoms. I have been reading a lot on anything similar with any Acers. I noticed the fan would increase in speed after opening and closing the lid. I tried starting it with and without the battery.
I let the battery discharge completely and then recharged it. I guess it's full when the light is blue, yellow when not full. After this, I've been able to get it to come on. It took quite a few presses of the power button. I'd sometimes get the pre-boot screen before Windows, then started making it to the swirly Windows boot graphic.
Now, most of the time, I can get it into Windows, start an app, and it will connect to my wifi. It will stay up no longer than 5-10 minutes. Then it just goes black and I can hear the fan running. I've tried capping the processor usage at 50% in the powercfg utility, doesn't help. Windows event log shows no useful diagnostic info regarding the crash.
Next I will try stuff including: a) booting into safe mode, b) disabling wireless nic, c) disabling bluetooth. Would appreciate any other suggestions or knowledge. I want it to stay up long enough to copy about 30 gig of data off before doing anything more drastic.
I've had this system since around early Oct 2014, never dropped it, been careful with it. Unfortunately I goofed and didn't get extended warranty on it.
I can't remember for sure if I had this problem before this week. Only other thing I know for sure is that for last 6 or 7 weeks, it has taken to beeping loudly when I plug in power cord, sometimes.