Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fk |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
29459473666560000 = 212 · 39 · 54 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-166827,24892954] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:6800:1] |
Generators of the group modulo torsion |
j |
171963096231529/9865918125 |
j-invariant |
L |
6.4452532255849 |
L(r)(E,1)/r! |
Ω |
0.36681231773274 |
Real period |
R |
1.0981864756146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004372 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5355s3 28560dg3 |
Quadratic twists by: -4 -3 |