Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
1392o |
Isogeny class |
Conductor |
1392 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
-1392 = -1 · 24 · 3 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 3 3 -3 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2,-1] |
[a1,a2,a3,a4,a6] |
j |
32000/87 |
j-invariant |
L |
2.4709365489861 |
L(r)(E,1)/r! |
Ω |
2.4709365489861 |
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 |
348a1 5568q1 4176x1 34800cd1 |
Quadratic twists by: -4 8 -3 5 |