Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320bw |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
740105994240000 = 217 · 312 · 54 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27201,-1117215] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:528:1] |
Generators of the group modulo torsion |
j |
16981825082402/5646560625 |
j-invariant |
L |
4.7405877523684 |
L(r)(E,1)/r! |
Ω |
0.38167730032177 |
Real period |
R |
3.1051019725118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16320be3 4080q4 48960fn3 81600ig3 |
Quadratic twists by: -4 8 -3 5 |