Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
129514n |
Isogeny class |
Conductor |
129514 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
108158400 |
Modular degree for the optimal curve |
Δ |
-2.5466954230787E+25 |
Discriminant |
Eigenvalues |
2- 3 -2 7- 11- -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1012629756,12405555100351] |
[a1,a2,a3,a4,a6] |
Generators |
[496407:1070471:27] |
Generators of the group modulo torsion |
j |
-229557656938288653297/50908819275776 |
j-invariant |
L |
18.939086683642 |
L(r)(E,1)/r! |
Ω |
0.065262069933331 |
Real period |
R |
0.69095361694518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129514e1 |
Quadratic twists by: 29 |