I use Filehippo to keep track of newly released updates too it is a great site, something to note is those links appears to only work for a short period of time or did when I first tried to use them a while back.
Here are the direct download links for JRE 7.10
jre-7u10-windows-i586.exe
http://javadl.sun.com/webapps/download/AutoDL?BundleId=71835
jre-7u10-windows-x64.exe
http://javadl.sun.com/webapps/download/AutoDL?BundleId=71837
You can get these and future standalone install links from the following page;
http://www.java.com/en/download/manual.jsp