Atkin-Lehner |
2+ 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878o |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-2986965347933952 = -1 · 28 · 312 · 73 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11+ 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,34740,-847152] |
[a1,a2,a3,a4,a6] |
j |
6360314548472639/4097346156288 |
j-invariant |
L |
3.0959353377133 |
L(r)(E,1)/r! |
Ω |
0.25799461147656 |
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 |
10626s1 |
Quadratic twists by: -3 |