Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8160k |
Isogeny class |
Conductor |
8160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
652800 = 29 · 3 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13600,-605948] |
[a1,a2,a3,a4,a6] |
j |
543378448339208/1275 |
j-invariant |
L |
1.7683660067734 |
L(r)(E,1)/r! |
Ω |
0.44209150169335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8160f3 16320ba3 24480g4 40800t4 |
Quadratic twists by: -4 8 -3 5 |