Atkin-Lehner |
2- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16192p |
Isogeny class |
Conductor |
16192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
548352 |
Modular degree for the optimal curve |
Δ |
939953871650816 = 221 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 0 3 -3 11+ -5 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18595916,-30865582448] |
[a1,a2,a3,a4,a6] |
j |
2712917065234165678953/3585639464 |
j-invariant |
L |
1.1632287925734 |
L(r)(E,1)/r! |
Ω |
0.07270179953584 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16192j1 4048i1 |
Quadratic twists by: -4 8 |