Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126es |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
1.5288042518763E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11+ 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-724352,144803747] |
[a1,a2,a3,a4,a6] |
j |
204109966921/74241024 |
j-invariant |
L |
4.050862831031 |
L(r)(E,1)/r! |
Ω |
0.20254309737913 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042bk1 126126ej1 |
Quadratic twists by: -3 -7 |