Atkin-Lehner |
2- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
89012g |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11162880 |
Modular degree for the optimal curve |
Δ |
-11438791245692272 = -1 · 24 · 7 · 114 · 178 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 11+ 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-918362525,10711969902489] |
[a1,a2,a3,a4,a6] |
Generators |
[428704912:455681039:24389] |
Generators of the group modulo torsion |
j |
-767458355651388000000/102487 |
j-invariant |
L |
6.3634393043939 |
L(r)(E,1)/r! |
Ω |
0.15954337468002 |
Real period |
R |
6.6475541171689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89012w1 |
Quadratic twists by: 17 |