Atkin-Lehner |
2- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
125426n |
Isogeny class |
Conductor |
125426 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-465214491473599616 = -1 · 27 · 75 · 178 · 31 |
Discriminant |
Eigenvalues |
2- -1 1 7+ 2 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-347095,85130733] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:9842:1] |
Generators of the group modulo torsion |
j |
-191591101730449/19273460864 |
j-invariant |
L |
9.7837204089731 |
L(r)(E,1)/r! |
Ω |
0.28869941300231 |
Real period |
R |
1.2103197148745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998513344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7378q1 |
Quadratic twists by: 17 |