Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320bw |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
345179750400 = 216 · 36 · 52 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24481,-1465919] |
[a1,a2,a3,a4,a6] |
Generators |
[9885:167552:27] |
Generators of the group modulo torsion |
j |
24759905519524/5267025 |
j-invariant |
L |
4.7405877523684 |
L(r)(E,1)/r! |
Ω |
0.38167730032177 |
Real period |
R |
6.2102039450236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16320be2 4080q2 48960fn2 81600ig2 |
Quadratic twists by: -4 8 -3 5 |