Atkin-Lehner |
3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66759i |
Isogeny class |
Conductor |
66759 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1233792 |
Modular degree for the optimal curve |
Δ |
-479199734142826851 = -1 · 32 · 74 · 11 · 1710 |
Discriminant |
Eigenvalues |
2 3- 1 7+ 11- 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-27840,-33362773] |
[a1,a2,a3,a4,a6] |
Generators |
[1113030509249858389870:78913675883030063449049:221161942446486488] |
Generators of the group modulo torsion |
j |
-1183744/237699 |
j-invariant |
L |
17.507629156686 |
L(r)(E,1)/r! |
Ω |
0.13166273878366 |
Real period |
R |
33.243325557456 |
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 |
66759d1 |
Quadratic twists by: 17 |