Atkin-Lehner |
2+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16192d |
Isogeny class |
Conductor |
16192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
31072855261184 = 223 · 115 · 23 |
Discriminant |
Eigenvalues |
2+ 0 1 1 11+ 7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59852,5629552] |
[a1,a2,a3,a4,a6] |
j |
90452336967369/118533536 |
j-invariant |
L |
2.6320632578013 |
L(r)(E,1)/r! |
Ω |
0.65801581445033 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16192x1 506d1 |
Quadratic twists by: -4 8 |