Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
51156bd |
Isogeny class |
Conductor |
51156 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-636727682304 = -1 · 28 · 36 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 1 3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2130471,-1196910162] |
[a1,a2,a3,a4,a6] |
Generators |
[185777199934830896043333776088647137353946:476278752145495089412809829954834671169435814:28265378332685275955969222287981483] |
Generators of the group modulo torsion |
j |
-48707390098512/29 |
j-invariant |
L |
8.3271778726084 |
L(r)(E,1)/r! |
Ω |
0.062481385640388 |
Real period |
R |
66.637269542449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5684h1 1044i1 |
Quadratic twists by: -3 -7 |