Atkin-Lehner |
2- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16192t |
Isogeny class |
Conductor |
16192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-2849792 = -1 · 210 · 112 · 23 |
Discriminant |
Eigenvalues |
2- -1 0 0 11+ -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,121] |
[a1,a2,a3,a4,a6] |
Generators |
[0:11:1] |
Generators of the group modulo torsion |
j |
-4000000/2783 |
j-invariant |
L |
3.7677603108591 |
L(r)(E,1)/r! |
Ω |
2.3456196612575 |
Real period |
R |
0.8031481772367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16192f1 4048a1 |
Quadratic twists by: -4 8 |