Atkin-Lehner |
2+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
16400j |
Isogeny class |
Conductor |
16400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
164000000 = 28 · 56 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 -2 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-308,-1888] |
[a1,a2,a3,a4,a6] |
j |
810448/41 |
j-invariant |
L |
2.2857937457662 |
L(r)(E,1)/r! |
Ω |
1.1428968728831 |
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 |
8200k1 65600cd1 656b1 |
Quadratic twists by: -4 8 5 |