Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320ct |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-2350080 = -1 · 210 · 33 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25,-97] |
[a1,a2,a3,a4,a6] |
j |
-1755904/2295 |
j-invariant |
L |
3.0438695765959 |
L(r)(E,1)/r! |
Ω |
1.0146231921986 |
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 |
16320n1 4080r1 48960es1 81600gi1 |
Quadratic twists by: -4 8 -3 5 |