Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126be |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
726456254216749056 = 214 · 317 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11+ 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-487755,124658757] |
[a1,a2,a3,a4,a6] |
Generators |
[534:3765:1] |
Generators of the group modulo torsion |
j |
7331784894054481/415039832064 |
j-invariant |
L |
4.753688706185 |
L(r)(E,1)/r! |
Ω |
0.2809081821872 |
Real period |
R |
1.4102142848926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998548951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042cx1 126126bu1 |
Quadratic twists by: -3 -7 |