Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8160r |
Isogeny class |
Conductor |
8160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1427673600 = 29 · 38 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4560,117000] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:486:1] |
Generators of the group modulo torsion |
j |
20485356001928/2788425 |
j-invariant |
L |
4.6772888681823 |
L(r)(E,1)/r! |
Ω |
1.4618275416051 |
Real period |
R |
1.5998087103512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8160l2 16320bx4 24480i4 40800d4 |
Quadratic twists by: -4 8 -3 5 |