Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
56800j |
Isogeny class |
Conductor |
56800 |
Conductor |
∏ cp |
2 |
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 |
1.0787483860512 |
L(r)(E,1)/r! |
Ω |
0.059930466016495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56800d1 113600f1 11360b1 |
Quadratic twists by: -4 8 5 |