Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320co |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
313344000000 = 217 · 32 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2401,35615] |
[a1,a2,a3,a4,a6] |
j |
11683450802/2390625 |
j-invariant |
L |
1.8315302232556 |
L(r)(E,1)/r! |
Ω |
0.91576511162779 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16320g2 4080i2 48960fi2 81600fm2 |
Quadratic twists by: -4 8 -3 5 |