Can I recharacterize after tax contribution from my rollover ira to my roth ira within the same year?

[swimpro005]

I have a rollover IRA from a 401k at my previous employment. This year I ended up contributing $500 after-tax money to it. I've since learned it's not good to contribute and mix into your rollover IRAs so I was wondering if there's anything I can do to reverse this.

I read up about re characterization but it's not clear if I can do it and how to go about it. I kept reading opposing things so I'm not sure. According to The Tax Cuts and Jobs Act, it says I can't. But then I see things like the pro-rata rule and converting. But this is usually done with high earners trying to get around not being able to contribute directly. 

[tagteam]

Please check back later. I will page @dmertz for input.