Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320bb |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-4380866641920 = -1 · 234 · 3 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5121,171615] |
[a1,a2,a3,a4,a6] |
Generators |
[-1084:32241:64] |
Generators of the group modulo torsion |
j |
-56667352321/16711680 |
j-invariant |
L |
5.3593055894495 |
L(r)(E,1)/r! |
Ω |
0.735740074649 |
Real period |
R |
7.2842377003947 |
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 |
16320bt1 510e1 48960cl1 81600c1 |
Quadratic twists by: -4 8 -3 5 |