To see what your ingress controller and cluster look like, head to the console -> EC2 -> LoadBalancers.
You’ll see that there is a load balancer between the nodes of your kubernetes cluster, and it is assigned a host name. That is the same host name that appears s output from this command:
kubectl get ingress -A
To finish a complete HA solution, you could add a Route 53 DNS round robin (Simple) entry to point to your two Kubernetes clusters. This would complete the simplest high availability configuration for EKS.
There are other ingress available for EKS that provide additional features.