Atkin-Lehner |
5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12325f |
Isogeny class |
Conductor |
12325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7800 |
Modular degree for the optimal curve |
Δ |
-4814453125 = -1 · 510 · 17 · 29 |
Discriminant |
Eigenvalues |
-1 2 5+ 3 -2 6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,-3344] |
[a1,a2,a3,a4,a6] |
Generators |
[5628:78644:27] |
Generators of the group modulo torsion |
j |
-25/493 |
j-invariant |
L |
4.7353549703826 |
L(r)(E,1)/r! |
Ω |
0.62446320964854 |
Real period |
R |
7.5830807919778 |
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 |
110925o1 12325h1 |
Quadratic twists by: -3 5 |