Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320dc |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
16320 = 26 · 3 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-340,-2530] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1524:1] |
Generators of the group modulo torsion |
j |
68117264704/255 |
j-invariant |
L |
5.5240056101717 |
L(r)(E,1)/r! |
Ω |
1.1115359932416 |
Real period |
R |
4.9697046643193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16320cg1 8160i2 48960en1 81600fv1 |
Quadratic twists by: -4 8 -3 5 |