It seems that both the load balancer url and the elastic beanstalk point to the same ip address.
thomasreggi$ nslookup aws-load-balancer-url.us-east-1.elb.amazonaws.com
Server: 8.8.8.8
Address: 8.8.8.8#53
Non-authoritative answer:
Name: aws-load-balancer-url.us-east-1.elb.amazonaws.com
Address: 100.00.000.0
Name: aws-load-balancer-url.us-east-1.elb.amazonaws.com
Address: 100.000.000.000
thomasreggi$ nslookup elastic-beanstalk-url.us-east-1.elasticbeanstalk.com
Server: 8.8.8.8
Address: 8.8.8.8#53
Non-authoritative answer:
Name: elastic-beanstalk-url.us-east-1.elasticbeanstalk.com
Address: 100.00.000.0
Name: elastic-beanstalk-url.us-east-1.elasticbeanstalk.com
Address: 100.000.000.000
I was wondering if there was any specific advantage using one url over the other.