Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16192bf |
Isogeny class |
Conductor |
16192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
16050028544 = 219 · 113 · 23 |
Discriminant |
Eigenvalues |
2- -2 -3 -5 11- 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-737,-4961] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:44:1] [-9:32:1] |
Generators of the group modulo torsion |
j |
169112377/61226 |
j-invariant |
L |
3.8317496595684 |
L(r)(E,1)/r! |
Ω |
0.94384101660038 |
Real period |
R |
0.33831171353499 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16192c1 4048g1 |
Quadratic twists by: -4 8 |