If the eggs are causing concern, then they can be removed and disposed of appropriately by the gardener.
The introduction of ladybirds, hoverfly larvae, lacewing larvae and several parasitic wasps in a garden situation will reduce numbers.
These can be attracted into the area by planting pollinator-friendly flowers, or the inclusion of insect hotels.
Likewise, keeping corners of the garden 'wild' will provide refuge for beneficial wildlife to pass through with ease. It's advised to research carefully, as many commercially-bought hotels can do more damage than good.
Keeping the soil healthy will make conditions desirable for beneficial soil-dwelling insects, which will eat rose root aphids.