Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65600bl |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
2624000000 = 212 · 56 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -6 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1433,20263] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:200:1] [-17:200:1] |
Generators of the group modulo torsion |
j |
5088448/41 |
j-invariant |
L |
6.654757452879 |
L(r)(E,1)/r! |
Ω |
1.4483664345967 |
Real period |
R |
1.1486660581835 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600bf1 32800i1 2624e1 |
Quadratic twists by: -4 8 5 |