Atkin-Lehner |
2- 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162bp |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
214167672878148 = 22 · 33 · 119 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10307045,-12733901287] |
[a1,a2,a3,a4,a6] |
j |
2531665445447410875/4477484 |
j-invariant |
L |
6.0666440061587 |
L(r)(E,1)/r! |
Ω |
0.08425894459668 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162g4 5742c2 |
Quadratic twists by: -3 -11 |