Atkin-Lehner |
2- 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
127512bp |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2477138419058688 = 211 · 36 · 72 · 112 · 234 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35355,901654] |
[a1,a2,a3,a4,a6] |
j |
3273548323250/1659177289 |
j-invariant |
L |
3.2367346535905 |
L(r)(E,1)/r! |
Ω |
0.40459195116103 |
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 |
14168e2 |
Quadratic twists by: -3 |