Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
56800l |
Isogeny class |
Conductor |
56800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
8875000000000 = 29 · 512 · 71 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 2 1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9408,323812] |
[a1,a2,a3,a4,a6] |
j |
11512557512/1109375 |
j-invariant |
L |
2.8476791625907 |
L(r)(E,1)/r! |
Ω |
0.711919790484 |
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 |
56800c1 113600c1 11360a1 |
Quadratic twists by: -4 8 5 |