Atkin-Lehner |
2+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400h |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
-184843750000 = -1 · 24 · 510 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -3 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,20787] |
[a1,a2,a3,a4,a6] |
j |
-6400/1183 |
j-invariant |
L |
1.6511888081016 |
L(r)(E,1)/r! |
Ω |
0.8255944040496 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18200v1 36400z1 |
Quadratic twists by: -4 5 |