Atkin-Lehner |
2- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18496q |
Isogeny class |
Conductor |
18496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1680747204608 = 212 · 177 |
Discriminant |
Eigenvalues |
2- 2 4 4 2 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7321,235353] |
[a1,a2,a3,a4,a6] |
j |
438976/17 |
j-invariant |
L |
6.6724022766217 |
L(r)(E,1)/r! |
Ω |
0.83405028457772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18496u1 9248i1 1088j1 |
Quadratic twists by: -4 8 17 |