Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
1392p |
Isogeny class |
Conductor |
1392 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1248 |
Modular degree for the optimal curve |
Δ |
-2919235584 = -1 · 225 · 3 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -6 0 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-904,10484] |
[a1,a2,a3,a4,a6] |
j |
-19968681097/712704 |
j-invariant |
L |
2.8391193054854 |
L(r)(E,1)/r! |
Ω |
1.4195596527427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
174e1 5568t1 4176ba1 34800ce1 |
Quadratic twists by: -4 8 -3 5 |