Atkin-Lehner |
2+ 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8112h |
Isogeny class |
Conductor |
8112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
219894898998528 = 28 · 34 · 139 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 2 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-949836,-355987152] |
[a1,a2,a3,a4,a6] |
j |
34909201168/81 |
j-invariant |
L |
2.7527066096719 |
L(r)(E,1)/r! |
Ω |
0.15292814498177 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4056s2 32448dp2 24336x2 8112i2 |
Quadratic twists by: -4 8 -3 13 |