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, add the CNAME record points to your CloudFront domain (e.g. 'abcdefghi.cloudfront.net') using the method provided by your DNS service provider.