Atkin-Lehner |
2- 3- 7+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118818bf |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
4927620096 = 210 · 36 · 7 · 23 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1334,-18107] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:19:1] |
Generators of the group modulo torsion |
j |
359880591897/6759424 |
j-invariant |
L |
13.373104449184 |
L(r)(E,1)/r! |
Ω |
0.7909178651052 |
Real period |
R |
1.6908335343855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999675017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13202b1 |
Quadratic twists by: -3 |