Atkin-Lehner |
2+ 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8112i |
Isogeny class |
Conductor |
8112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
45556992 = 28 · 34 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 -2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5620,-160304] |
[a1,a2,a3,a4,a6] |
j |
34909201168/81 |
j-invariant |
L |
1.1027805363868 |
L(r)(E,1)/r! |
Ω |
0.55139026819338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4056j2 32448do2 24336w2 8112h2 |
Quadratic twists by: -4 8 -3 13 |