Atkin-Lehner |
2- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16192r |
Isogeny class |
Conductor |
16192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
8290304 = 215 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -2 1 -1 11+ -5 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,127] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:8:1] [1:8:1] |
Generators of the group modulo torsion |
j |
941192/253 |
j-invariant |
L |
5.2630153502536 |
L(r)(E,1)/r! |
Ω |
2.1740991572837 |
Real period |
R |
0.6051949531166 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16192bd1 8096h1 |
Quadratic twists by: -4 8 |