Atkin-Lehner |
2+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
56800d |
Isogeny class |
Conductor |
56800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2082816 |
Modular degree for the optimal curve |
Δ |
138671875000000000 = 29 · 518 · 71 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 -2 -5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40272408,98382707812] |
[a1,a2,a3,a4,a6] |
j |
902935088231125590152/17333984375 |
j-invariant |
L |
0.94147088793384 |
L(r)(E,1)/r! |
Ω |
0.23536772192613 |
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 |
56800j1 113600v1 11360j1 |
Quadratic twists by: -4 8 5 |