Atkin-Lehner |
3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
67725g |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
9955575 = 33 · 52 · 73 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -1 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57,-54] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:8:1] |
Generators of the group modulo torsion |
j |
30642435/14749 |
j-invariant |
L |
8.0265194103546 |
L(r)(E,1)/r! |
Ω |
1.8213375388858 |
Real period |
R |
0.73448946527714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67725h1 67725j1 |
Quadratic twists by: -3 5 |