…there is no discernible difference in nutritional value. Brown eggs tend to have more omega-3 fatty acids, but the difference is miniscule. There’s also no difference in yolk or taste.
Source: What’s the Real Difference Between Brown and White Eggs?
Related nutrition information: Eggs
While organizations like the American Heart Association (AHA) allow for regular consumption of eggs in a meal plan, they typically warn that eggs are difficult to include because of their high cholesterol content and potential for increasing risk of heart disease. For persons with health blood cholesterol levels not needing cholesterol-lowering drugs, the AHA recommends a maximum of 300 milligrams of cholesterol per day from food. Since one conventionally produced egg contains about 180-220 milligrams of cholesterol, about two-thirds of the daily limit gets used up by consumption of one egg. Interestingly, several recent large-scale diet studies suggest that the cholesterol content of an egg may be less of a concern in relationship to heart disease than previously thought. In these studies, no increased risk of either heart attack or stroke was shown with intake of one to six eggs per week. (One exception involved participants with type 2 diabetes, whose risk of heart problems was associated with egg intake, even in the range of one to six eggs per week.) Equally interesting was the link between egg intake and increased levels of HDL cholesterol (the “good” cholesterol) in participants. Not only did egg intake increase the number of HDL molecules, it also improved their composition and allowed them to function more effectively.
My Warfarin Diet 