Atkin-Lehner |
2- 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126fx |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-462665652793344 = -1 · 212 · 311 · 73 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13964,-1210737] |
[a1,a2,a3,a4,a6] |
j |
-1204210547119/1850314752 |
j-invariant |
L |
4.9989977926376 |
L(r)(E,1)/r! |
Ω |
0.20829160028092 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042o1 126126fq1 |
Quadratic twists by: -3 -7 |