All good suggestions above.
Try the stock cooler. If that doesn't do the job, buy an after market cooler. There are a few that are very close in performance. So, it comes down to price -- which varies with sales.
A couple more to consider. Both are highly rated in test reports. I own and have tested both -- they are within a degree or two of each other.
After my testing, I concluded it comes down to the fan you use for maximum cooling. But, maximum will be noisy and only a few to several degrees cooler than quiet fans.
HOLY HEATSINK BATMAN!!!
In checking just now, I found the nearly "unbeatable" Coolermaster Hyper 212 Plus (one that I own and was going to recommend) is only $24.99 with free shipping today. It has been selling for $50 lately. I got mine for $30 last November and then the price went up and up as more folks caught on to its value. Well now its less than what I paid. So, I'm buying another one
Coolermaster Hyper 212 Notice over 1500 user comments and 5 egg rating. Notice its for Sandy Bridge (works fine with my AMD). This being so cheap I won't mention the other heatsink I have which would be over $70 normally

WHOOPS, I just noted -- you may be posting from "out of town". Well, maybe there is a similar sale in Europe.
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