I would agree with what was stated above. That said there are two types of barrel nuts that come with the m5 and you would need to figure out which you have. My buddy had a run of the mill on that took a normal armors wrench but I had one that we found a large crescent wrench worked perfectly. We used a brownells barrel extension torque rod since we could not find a Geiselle reaction rod in stock. We also used aeroshell for the grease on the barrel nut. Basically we took my vise and clamped the tool to hold the barrel nut and used a torque wrench on the barrel rod to get it where it needed to be.
On this endeavor I think we used the following tools
Vice (run of the mill made in USA one I've had for 10 years)
Brownells torque rod
http://www.brownells.com/gunsmith-tools-supplies/rifle-tools/barrel-tools/308-ar-barrel-extension-torque-tools-prod72374.aspx
Magpul armors wrench or crescent wrench (depends on barrel nut, post a pic and people will tell you)
Aeroshell grease
Craftsmen brand torque wrench
That's everything for just the barrel that we used
His barrel nut
http://aeroprecisionusa.com/m5e1-handguard-barrel-nut.html
Mine
https://pbs.twimg.com/media/Cjd08QmUkAE_kGK?format=jpg&name=large
There may be others as well, the cop platform I got from them awhile back looks like a castle nut!