Atkin-Lehner |
2- 3- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070v |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
4018178949120 = 216 · 39 · 5 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16538,-808743] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:111:1] |
Generators of the group modulo torsion |
j |
686152305984601/5511905280 |
j-invariant |
L |
8.9271350706044 |
L(r)(E,1)/r! |
Ω |
0.42120280520022 |
Real period |
R |
2.6492983191004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18690e1 |
Quadratic twists by: -3 |