Atkin-Lehner |
2- 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11628i |
Isogeny class |
Conductor |
11628 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-14647931136 = -1 · 28 · 311 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 3 0 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-759,9934] |
[a1,a2,a3,a4,a6] |
Generators |
[35:162:1] |
Generators of the group modulo torsion |
j |
-259108432/78489 |
j-invariant |
L |
4.3147779097342 |
L(r)(E,1)/r! |
Ω |
1.1821787944023 |
Real period |
R |
0.30415435255119 |
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 |
46512bf1 3876e1 |
Quadratic twists by: -4 -3 |