Atkin-Lehner |
2- 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126ej |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
129946217296896 = 210 · 37 · 74 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11+ 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14783,-417945] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:114:1] [149:744:1] |
Generators of the group modulo torsion |
j |
204109966921/74241024 |
j-invariant |
L |
16.914538579486 |
L(r)(E,1)/r! |
Ω |
0.44613315127026 |
Real period |
R |
0.10531570965012 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999921226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042f1 126126es1 |
Quadratic twists by: -3 -7 |