SSL Mismatch Between Domain Name and Private Name

Hi,

I have an EC2 instance that is serving a single domain. It is serving HTTP traffic correctly.

DNS is set up so that the EC2's public IP points to the domain name using Route53. We are not using an Elastic IP at this time.

I have installed a Let's Encrypt certificate on the instance and everything looks good in terms of the Apache and OS configuration. However, when you visit the website for HTTPS there is a mismatch error between the certificate the EC2's private DNS name.

Do I need another DNS record? Is there something else I can do?

Thanks,
Steve