Atkin-Lehner |
2- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
15860c |
Isogeny class |
Conductor |
15860 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
19349200 = 24 · 52 · 13 · 612 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88,237] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:18:1] |
Generators of the group modulo torsion |
j |
4710334464/1209325 |
j-invariant |
L |
4.7596365330062 |
L(r)(E,1)/r! |
Ω |
2.0309674476654 |
Real period |
R |
2.3435316693418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63440k1 79300f1 |
Quadratic twists by: -4 5 |