Atkin-Lehner |
2+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
2848a |
Isogeny class |
Conductor |
2848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
5696 = 26 · 89 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 4 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29,60] |
[a1,a2,a3,a4,a6] |
j |
42144192/89 |
j-invariant |
L |
2.1394452080938 |
L(r)(E,1)/r! |
Ω |
4.2788904161876 |
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 |
2848d1 5696d1 25632k1 71200m1 |
Quadratic twists by: -4 8 -3 5 |