Atkin-Lehner |
5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
17675h |
Isogeny class |
Conductor |
17675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
77328125 = 56 · 72 · 101 |
Discriminant |
Eigenvalues |
2 2 5+ 7- -4 1 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-308,2143] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-1:8] |
Generators of the group modulo torsion |
j |
207474688/4949 |
j-invariant |
L |
13.540246472418 |
L(r)(E,1)/r! |
Ω |
1.9295116873026 |
Real period |
R |
3.5087236220235 |
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 |
707a1 123725g1 |
Quadratic twists by: 5 -7 |