Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320br |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-58752000 = -1 · 210 · 33 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -1 6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79,-279] |
[a1,a2,a3,a4,a6] |
j |
52577024/57375 |
j-invariant |
L |
1.0686614090899 |
L(r)(E,1)/r! |
Ω |
1.0686614090899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16320w1 4080n1 48960fy1 81600ix1 |
Quadratic twists by: -4 8 -3 5 |