Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320ch |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-28730000985292800 = -1 · 221 · 38 · 52 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,37055,7666657] |
[a1,a2,a3,a4,a6] |
j |
21464092074671/109596256200 |
j-invariant |
L |
2.1490789039519 |
L(r)(E,1)/r! |
Ω |
0.26863486299399 |
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 |
16320bn4 4080bb4 48960el3 81600ii3 |
Quadratic twists by: -4 8 -3 5 |