By default, the status page has the url like 'abcdefghi.cloudfront.net'. The steps below explain how to set up your custom domain.
Note: you don't need to do that on creating a new stack. You can do it later.
You need to update your LambStatus stack first. Then, configure the DNS service.
StatusPageSSLCertificate: the ARN of an AWS Certificate Manager certificate, such as 'arn:aws:acm:us-east-1:000000000000:certificate/00000000-0000-0000-0000-000000000000'.
StatusPageURL: the domain name of your status page.
AdminPageURLto change the URL of the admin page.
This update takes 10-20 minutes since it changes the CloudFront settings.
If you're using Route53, perform the procedures here. If not, use the method provided by your DNS service provider to add a CNAME resource record set to the hosted zone for your domain.