Atkin-Lehner |
2- 7+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9338h |
Isogeny class |
Conductor |
9338 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2166416 = 24 · 7 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11554219,15119657963] |
[a1,a2,a3,a4,a6] |
j |
170586815436843383543017473/2166416 |
j-invariant |
L |
4.7765071571894 |
L(r)(E,1)/r! |
Ω |
0.59706339464867 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74704s4 84042l4 65366t4 |
Quadratic twists by: -4 -3 -7 |