Atkin-Lehner |
2- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16192q |
Isogeny class |
Conductor |
16192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-41723804672 = -1 · 210 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 1 0 4 11+ -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9113,331967] |
[a1,a2,a3,a4,a6] |
j |
-81743931616000/40745903 |
j-invariant |
L |
2.2570863371375 |
L(r)(E,1)/r! |
Ω |
1.1285431685687 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16192l2 4048j2 |
Quadratic twists by: -4 8 |