Atkin-Lehner |
2+ 3+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6018c |
Isogeny class |
Conductor |
6018 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
44175393792 = 210 · 36 · 17 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 -2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-887,-1515] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:44:1] [-19:104:1] |
Generators of the group modulo torsion |
j |
77314220407801/44175393792 |
j-invariant |
L |
2.7851084443982 |
L(r)(E,1)/r! |
Ω |
0.94731115372133 |
Real period |
R |
1.4700072058998 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48144u1 18054r1 102306h1 |
Quadratic twists by: -4 -3 17 |