Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600bc |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
5696000000 = 212 · 56 · 89 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 4 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-608,-4288] |
[a1,a2,a3,a4,a6] |
Generators |
[37:150:1] |
Generators of the group modulo torsion |
j |
389017/89 |
j-invariant |
L |
9.0155266117928 |
L(r)(E,1)/r! |
Ω |
0.97711427280031 |
Real period |
R |
2.3066715078151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2225b1 1424f1 |
Quadratic twists by: -4 5 |