I usually eat 2 eggs when I eat eggs. I don't normally eat them though. I'll drink one every few days.
Eggs are decent foods, nutritionally, but they certainly aren't great.
Look here, but click on "1 large" in the serving size. The important thing to see is the colored graph in the middle. You want more filling and more nutritious. Eggs are about average on both marks. So, you could do better by adding other foods (something with more nutrition or something that is more filling, or both).
One large egg is 4% of calories in a 2000 calorie diet but it is 8% of the fat. If you ate only eggs to get your calorie needs, you'd be double the fat intake that you should have. So, you are a bit high on fat, but it isn't too bad. Forget about cholesterol, there is almost no scientific evidence that cholesterol you eat has any impact on your body's cholesterol level.
Eggs are high in protein which is good. And they are decent in vitamins/minerals (values for those nutrients as you can see in the link are near the 4% value for calories).
The real problem is that you have 0g of fiber in an egg. A little bit of something fiberous would really help your breakfast be more filling. Try a little bit of high-fiber cereal and one less egg for a much better breakfast balance. The cereal will fill up your fiber needs and won't add much fat. The combination is far better balanced than either one alone.