Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320ch |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
125337600000000 = 221 · 32 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-418625,104390625] |
[a1,a2,a3,a4,a6] |
j |
30949975477232209/478125000 |
j-invariant |
L |
2.1490789039519 |
L(r)(E,1)/r! |
Ω |
0.53726972598799 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16320bn3 4080bb3 48960el4 81600ii4 |
Quadratic twists by: -4 8 -3 5 |