Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698bi |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
33796752 = 24 · 3 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-349,2465] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:73:1] |
Generators of the group modulo torsion |
j |
3532642667/25392 |
j-invariant |
L |
8.6847588206098 |
L(r)(E,1)/r! |
Ω |
2.0819206702026 |
Real period |
R |
1.0428782115608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50094k1 16698m1 |
Quadratic twists by: -3 -11 |