Atkin-Lehner |
5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
123725g |
Isogeny class |
Conductor |
123725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
9097576578125 = 56 · 78 · 101 |
Discriminant |
Eigenvalues |
2 -2 5+ 7- -4 -1 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15108,-704931] |
[a1,a2,a3,a4,a6] |
j |
207474688/4949 |
j-invariant |
L |
0.86249564396627 |
L(r)(E,1)/r! |
Ω |
0.4312474958333 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4949c1 17675h1 |
Quadratic twists by: 5 -7 |