Atkin-Lehner |
2- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127600bt |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-4022141787136000 = -1 · 213 · 53 · 115 · 293 |
Discriminant |
Eigenvalues |
2- 0 5- -5 11- 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63035,-6812950] |
[a1,a2,a3,a4,a6] |
Generators |
[949:28072:1] |
Generators of the group modulo torsion |
j |
-54100218938661/7855745678 |
j-invariant |
L |
5.7126424418799 |
L(r)(E,1)/r! |
Ω |
0.14945029466894 |
Real period |
R |
0.31853636241163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000096027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15950q1 127600bs1 |
Quadratic twists by: -4 5 |