Atkin-Lehner |
2- 11+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56848c |
Isogeny class |
Conductor |
56848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-4994437888 = -1 · 28 · 11 · 173 · 192 |
Discriminant |
Eigenvalues |
2- 0 -2 -1 11+ 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56,3404] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:38:1] [5:57:1] |
Generators of the group modulo torsion |
j |
-75866112/19509523 |
j-invariant |
L |
8.3785213841432 |
L(r)(E,1)/r! |
Ω |
1.1122856963527 |
Real period |
R |
1.8831765551821 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14212d1 |
Quadratic twists by: -4 |