Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320cr |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-1070755200000 = -1 · 210 · 39 · 55 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -5 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-681,-50481] |
[a1,a2,a3,a4,a6] |
j |
-34158804736/1045659375 |
j-invariant |
L |
3.4175446590637 |
L(r)(E,1)/r! |
Ω |
0.37972718434041 |
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 |
16320j1 4080x1 48960fp1 81600ga1 |
Quadratic twists by: -4 8 -3 5 |