Windows 7 crash and restart during Sony Vegas render

Hi There!

I am looking for some advice regarding some crashes that have been happening more and more frequently on my borrowed laptop. Its an HP Pavilion dv6 notebook PC, which is running windows 7.

Almost every time I attempt to render a project (which is quite a long one, around 72 minutes) the computer gets part way through and then crashes and automatically reboots itself. The error information I get when I log in again looks like this:

Problem signature:
Problem Event Name: BlueScreen
OS Version: 6.1.7601.2.1.0.768.3
Locale ID: 3081

Additional information about the problem:
BCCode: 1a
BCP1: 0000000000041287
BCP2: 0000000000000040
BCP3: 0000000000000000
BCP4: 0000000000000000
OS Version: 6_1_7601
Service Pack: 1_0
Product: 768_1

Files that help describe the problem:
C:\Windows\Minidump\121313-26972-01.dmp
C:\Users\Emily\AppData\Local\Temp\WER-435507-0.sysdata.xml

If anyone has some advice regarding where I should start looking (i.e. power source, RAM, graphics card etc.) I would be so grateful!

Thanks!
Blackwool