Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320cp |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-95508720000000 = -1 · 210 · 35 · 57 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -1 6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11361,-665865] |
[a1,a2,a3,a4,a6] |
j |
-158384129218816/93270234375 |
j-invariant |
L |
3.3769103566316 |
L(r)(E,1)/r! |
Ω |
0.22512735710877 |
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 |
16320i1 4080j1 48960fj1 81600fr1 |
Quadratic twists by: -4 8 -3 5 |