In Quenya, the superlative is usually expressed with the prefix an- (sometimes ana-). The adjective "most beautiful" would be expressed as something like this: Anavanima.
However, there exists another prefix which has a similar usage, but expresses an even greater sense of "most beautiful" (in this case). That would be ar- (sometimes ari-). Rather than calling something/someone the most beautiful, it would instead mean something like "the most beautiful of all." If that's the sense you're going for, then I would go with the word Arivanima for the ring.
As for what that would look like in Tengwar, I suggest you visit a website called Tecendil.com, where you can type certain words or phrases to see their Tengwar equivalents. The mode you'll want is Quenya, which can be accessed by clicking on the "Mode" indicator to the right of the bar in which you type.