Atkin-Lehner |
2- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
3560f |
Isogeny class |
Conductor |
3560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
569600 = 28 · 52 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -4 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36,64] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:10:1] [-5:12:1] |
Generators of the group modulo torsion |
j |
20720464/2225 |
j-invariant |
L |
3.033629567097 |
L(r)(E,1)/r! |
Ω |
2.8213212631043 |
Real period |
R |
0.53762568743411 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7120c1 28480n1 32040e1 17800a1 |
Quadratic twists by: -4 8 -3 5 |