no experts here?
Look in the server.xml properties file if you just want to know what it is (in the Tomcat directory under deploy).
Otherwise you'll probably have to make a JMX call to get the info. Look up the RMIAdaptor from JNDI and use it to "invoke" an operation on the server. You'll have to look around in the JMX console to find out which bean has the information that you're looking for.