Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320h |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-167568149053440 = -1 · 232 · 33 · 5 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46241,-3862239] |
[a1,a2,a3,a4,a6] |
j |
-41713327443241/639221760 |
j-invariant |
L |
0.32527184538586 |
L(r)(E,1)/r! |
Ω |
0.16263592269293 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16320cn1 510b1 48960cs1 81600cv1 |
Quadratic twists by: -4 8 -3 5 |