Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31824bc |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
23288620434768 = 24 · 318 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -2 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9084,239047] |
[a1,a2,a3,a4,a6] |
j |
7107347955712/1996623837 |
j-invariant |
L |
1.2584372976545 |
L(r)(E,1)/r! |
Ω |
0.62921864882657 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7956c1 127296ds1 10608u1 |
Quadratic twists by: -4 8 -3 |