Atkin-Lehner |
2- 3- 5- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
32370bh |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
55 |
Product of Tamagawa factors cp |
deg |
33440 |
Modular degree for the optimal curve |
Δ |
30582658080 = 25 · 311 · 5 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 2 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1125,11745] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:171:1] |
Generators of the group modulo torsion |
j |
157472748162001/30582658080 |
j-invariant |
L |
11.662181869561 |
L(r)(E,1)/r! |
Ω |
1.1142994531921 |
Real period |
R |
0.19028966562645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97110h1 |
Quadratic twists by: -3 |