Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232m |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
10135461773376 = 26 · 38 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6069,98260] |
[a1,a2,a3,a4,a6] |
j |
21952/9 |
j-invariant |
L |
1.3122530478822 |
L(r)(E,1)/r! |
Ω |
0.65612648554445 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83232bn1 27744bb1 288c1 |
Quadratic twists by: -4 -3 17 |