Atkin-Lehner |
2- 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
18744i |
Isogeny class |
Conductor |
18744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
217730304 = 28 · 32 · 113 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 11+ -3 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-665,-6789] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:6:1] |
Generators of the group modulo torsion |
j |
127233534976/850509 |
j-invariant |
L |
5.6866626699478 |
L(r)(E,1)/r! |
Ω |
0.94040442011942 |
Real period |
R |
1.5117598738067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37488h1 56232h1 |
Quadratic twists by: -4 -3 |