Atkin-Lehner |
2- 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126en |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
9346179839540544 = 26 · 311 · 78 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- 13+ -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-94604,10211919] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:-3939:1] [-159:4685:1] |
Generators of the group modulo torsion |
j |
22281070777/2223936 |
j-invariant |
L |
15.29981389235 |
L(r)(E,1)/r! |
Ω |
0.39822269186357 |
Real period |
R |
0.53361453176193 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999960365 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042c1 126126gb1 |
Quadratic twists by: -3 -7 |