Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320bo |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1065369600 = -1 · 214 · 32 · 52 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79,1521] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:24:1] [1:40:1] |
Generators of the group modulo torsion |
j |
3286064/65025 |
j-invariant |
L |
5.6499477911395 |
L(r)(E,1)/r! |
Ω |
1.1602922890753 |
Real period |
R |
0.60867721051152 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16320v2 4080bc2 48960fq2 81600io2 |
Quadratic twists by: -4 8 -3 5 |