Atkin-Lehner |
2+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62530h |
Isogeny class |
Conductor |
62530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
8128900 = 22 · 52 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-259,1665] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:47:1] [-82:491:8] |
Generators of the group modulo torsion |
j |
876467493/3700 |
j-invariant |
L |
7.4459142658692 |
L(r)(E,1)/r! |
Ω |
2.3435404178654 |
Real period |
R |
1.5886037657163 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62530p1 |
Quadratic twists by: 13 |