Atkin-Lehner |
2- 3- 7+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158bq |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
635206100931327744 = 28 · 39 · 72 · 137 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -1 13- 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-543407,149474103] |
[a1,a2,a3,a4,a6] |
Generators |
[683:9486:1] |
Generators of the group modulo torsion |
j |
24342833031142160809/871338958753536 |
j-invariant |
L |
10.569414005119 |
L(r)(E,1)/r! |
Ω |
0.28637707212786 |
Real period |
R |
0.082382440048546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22386c1 |
Quadratic twists by: -3 |