Atkin-Lehner |
3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
13725g |
Isogeny class |
Conductor |
13725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
31267265625 = 38 · 57 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12942,-563409] |
[a1,a2,a3,a4,a6] |
Generators |
[4732926:-250159:35937] |
Generators of the group modulo torsion |
j |
21047437081/2745 |
j-invariant |
L |
5.4952706139941 |
L(r)(E,1)/r! |
Ω |
0.44761128942313 |
Real period |
R |
12.276881177587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4575f1 2745c1 |
Quadratic twists by: -3 5 |