Atkin-Lehner |
2- 5+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
92720v |
Isogeny class |
Conductor |
92720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
47232 |
Modular degree for the optimal curve |
Δ |
-237363200 = -1 · 213 · 52 · 19 · 61 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 3 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-816,9280] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:40:1] [16:-8:1] |
Generators of the group modulo torsion |
j |
-14688124849/57950 |
j-invariant |
L |
7.6924156423876 |
L(r)(E,1)/r! |
Ω |
1.7687907828709 |
Real period |
R |
0.54362107981356 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11590h1 |
Quadratic twists by: -4 |