patekova
1840
Pretty rare watch, but 5711 is 5711
5711 is a Nautilis, it is larger, it is more desired and you are comparing yellow to rose.
I would suggest a better comparison, would be the value of the smaller Nautilis 3800/1J.
By looking up the data bases of the auction houses I think you will have a pretty good idea of where the market is or should be for s complete 5065 1/J. And if you don't find yellow gold examples you can find the value of the steel version and add some percentage to that. You can also check out 3800 1/J.
That said, of course the more most important thing is how much do you love the watch.
Best, patekova