Atkin-Lehner |
2- 7+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9338g |
Isogeny class |
Conductor |
9338 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
16312107262976 = 210 · 77 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 4 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-394924,-95426257] |
[a1,a2,a3,a4,a6] |
j |
6811821555839776164753/16312107262976 |
j-invariant |
L |
3.8089153144032 |
L(r)(E,1)/r! |
Ω |
0.19044576572016 |
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 |
74704r1 84042k1 65366s1 |
Quadratic twists by: -4 -3 -7 |