Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13776bc |
Isogeny class |
Conductor |
13776 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-220416 = -1 · 28 · 3 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -2 -3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12,24] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
-810448/861 |
j-invariant |
L |
4.5802419734412 |
L(r)(E,1)/r! |
Ω |
2.8626722955078 |
Real period |
R |
1.5999882280024 |
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 |
3444d1 55104cn1 41328cd1 96432bf1 |
Quadratic twists by: -4 8 -3 -7 |