I found the specs, and it seems your laptop does have a mini-displayport connection. You'll need something like this: http://www.newegg.com/Product/Product.aspx?Item=N82E16812191270
Unfortunately, every time I have looked up reviews on these types of converters, they often have issues, like losing a little power causing flickering. So make sure to get one that is good.
One thing I am noticing is that none of the ones I've looked up list 120hz as something it is compatible with. They keep showing high resolutions at 60 hz. I'm not sure that it will work.