Click on " Library", then "Family History Library Catalog", then "Place search". Enter the name without the umlaut, as "Ruttenen". Keep clicking on the active links until you get to the screen which has a tab in the upper right, "View Film Notes". Click on it and you will see descriptions of the two microfilm. You can order these microfilms into your local LDS FHC (Family History Center) for a reasonable fee and view them on their microfilm readers.
The ZIP code for Rüttenen, Canton Solothurn is 4522.