Atkin-Lehner |
2- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
89012a |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-278174902359554816 = -1 · 28 · 72 · 11 · 1710 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 11+ 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,155675,9271591] |
[a1,a2,a3,a4,a6] |
Generators |
[45:4046:1] [129:5614:1] |
Generators of the group modulo torsion |
j |
67521806336/45017819 |
j-invariant |
L |
13.19019731466 |
L(r)(E,1)/r! |
Ω |
0.19397583265663 |
Real period |
R |
5.6665982278249 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5236d1 |
Quadratic twists by: 17 |