If you are talking about storing the egg before incubation, the article says
Positioning and turning eggs during storageEggs that will be stored for less than 10 days before incubation should be placed on egg flats or in egg cartons with the large end up. Eggs do not need to be turned from side to side during storage if they are incubated within the week the eggs are laid. If the eggs are not sealed in a plastic bag, cover them with a loose fitting material to prevent debris or dust from soiling the eggs.
Eggs stored for more than 10 days should be tilted from side to side over a 90-degree angle once or twice a day to assure optimal hatching success rates. To turn eggs during the holding period, place a 6-inch block under one end of the carton (or flat) holding the eggs to produce a 45-degree angle against the floor. The next day, remove the block and place it under the opposite end of the carton. Turning eggs prevents some hatchability loss that can occur during long-term storage.
This means the small end goes down.
If you are using an incubator and are talking about the initial 18 days of incubation (which I think is the case), the article says,
The small end of the egg should be lower than the large end of the egg when set in the incubator. An embryo orients during incubation so that the head develops toward the large end of the egg where the air cell is located. A chicks head can orient away from the air cell of the egg if the small end is higher than the large end during incubation. An embryo oriented in the wrong direction will not hatch.
This means the small end is pointed down.
If you are talking about in an incubator after lockdown, the article says
Do not turn the eggs during the last 3 days to 4 days of incubation. Transfer eggs to a dedicated hatcher at this time. If a hatcher is unavailable, remove the eggs from the turner and lay the eggs in the hatching basket or place on cloth or rough paper (not newspaper) in the incubator. Make sure that the paper does not obstruct airflow, contact the water, or contact the heating element.
This means lay them on their side.
If you are using a broody, it really does not matter. The hen will take care of it.