Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16192ba |
Isogeny class |
Conductor |
16192 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
530654068736 = 215 · 113 · 233 |
Discriminant |
Eigenvalues |
2- 0 -1 -3 11- -3 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2348,26256] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:264:1] [-19:253:1] |
Generators of the group modulo torsion |
j |
43688592648/16194277 |
j-invariant |
L |
6.1261082675771 |
L(r)(E,1)/r! |
Ω |
0.84625279166881 |
Real period |
R |
0.20108610071914 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16192m1 8096c1 |
Quadratic twists by: -4 8 |