Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320bn |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
245461155840000 = 224 · 34 · 54 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26945,-1535457] |
[a1,a2,a3,a4,a6] |
j |
8253429989329/936360000 |
j-invariant |
L |
3.0030569157992 |
L(r)(E,1)/r! |
Ω |
0.3753821144749 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16320ch2 510d2 48960bt2 81600o2 |
Quadratic twists by: -4 8 -3 5 |