Atkin-Lehner |
3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
7725g |
Isogeny class |
Conductor |
7725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-233814318556640625 = -1 · 319 · 59 · 103 |
Discriminant |
Eigenvalues |
-1 3+ 5- -3 2 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23888,23297906] |
[a1,a2,a3,a4,a6] |
Generators |
[-290:2582:1] |
Generators of the group modulo torsion |
j |
-771852260717/119712931101 |
j-invariant |
L |
1.9631985241104 |
L(r)(E,1)/r! |
Ω |
0.25643515963181 |
Real period |
R |
3.8278653499176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600cs1 23175x1 7725n1 |
Quadratic twists by: -4 -3 5 |