Atkin-Lehner |
2+ 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
12816a |
Isogeny class |
Conductor |
12816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5719888497051648 = 211 · 322 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53859,-3147262] |
[a1,a2,a3,a4,a6] |
j |
11572870364354/3831158169 |
j-invariant |
L |
1.2868259312726 |
L(r)(E,1)/r! |
Ω |
0.32170648281815 |
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 |
6408a3 51264bc4 4272a3 |
Quadratic twists by: -4 8 -3 |