Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10192bg |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-6580543400704 = -1 · 28 · 711 · 13 |
Discriminant |
Eigenvalues |
2- 0 3 7- 2 13- 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28616,1867292] |
[a1,a2,a3,a4,a6] |
j |
-86044336128/218491 |
j-invariant |
L |
3.0106699788613 |
L(r)(E,1)/r! |
Ω |
0.75266749471533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2548j1 40768cm1 91728gc1 1456e1 |
Quadratic twists by: -4 8 -3 -7 |