Atkin-Lehner |
3+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21483b |
Isogeny class |
Conductor |
21483 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1317888 |
Modular degree for the optimal curve |
Δ |
-1.6975616474456E+22 |
Discriminant |
Eigenvalues |
0 3+ -1 7+ 11+ 5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-29093958,-60726550318] |
[a1,a2,a3,a4,a6] |
Generators |
[3115072429013457108:-1397842464903397372201:15458718370031] |
Generators of the group modulo torsion |
j |
-138369649966972688498688/862450666791439033 |
j-invariant |
L |
3.6947287063018 |
L(r)(E,1)/r! |
Ω |
0.03249055111841 |
Real period |
R |
28.429255422881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21483e1 |
Quadratic twists by: -3 |