Start with peeled, hard-boiled cooked eggs that have been sliced in half, lengthwise. Remove the hard yolks to a mixing bowl.
When all the yolks are in the bowl, mash them up with a fork or flexible spatula. Add the mayonnaise, minced jalapeno, butter, and salt and pepper. Mix well with a spoon until smooth and creamy. Taste and adjust the salt and pepper as needed.
Spoon the mixture into the egg halves. Garnish with chopped chives, and dust lightly with paprika if desired. Refrigerate until ready to serve. Enjoy!