Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126cn |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8930274836680989792 = 25 · 312 · 710 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-669888,-154309856] |
[a1,a2,a3,a4,a6] |
j |
387627787952497/104123571552 |
j-invariant |
L |
1.3618318702886 |
L(r)(E,1)/r! |
Ω |
0.17022889183295 |
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 |
42042bz2 18018q2 |
Quadratic twists by: -3 -7 |