Atkin-Lehner |
2- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
113230z |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
2019805798400000 = 216 · 55 · 133 · 672 |
Discriminant |
Eigenvalues |
2- 0 5- -4 2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-75172,7651271] |
[a1,a2,a3,a4,a6] |
Generators |
[101:989:1] |
Generators of the group modulo torsion |
j |
21382405148727693/919347200000 |
j-invariant |
L |
9.2626413779773 |
L(r)(E,1)/r! |
Ω |
0.46109623472916 |
Real period |
R |
0.25110380001704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113230i1 |
Quadratic twists by: 13 |