Atkin-Lehner |
3- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
125913f |
Isogeny class |
Conductor |
125913 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
4938055555152861 = 33 · 192 · 477 |
Discriminant |
Eigenvalues |
0 3- -1 -3 -3 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-78051,-7707958] |
[a1,a2,a3,a4,a6] |
Generators |
[-3534:-14372:27] [-1350:6623:8] |
Generators of the group modulo torsion |
j |
4878401536/458109 |
j-invariant |
L |
10.033049534958 |
L(r)(E,1)/r! |
Ω |
0.28735016005135 |
Real period |
R |
1.4548233777496 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2679d1 |
Quadratic twists by: -47 |