Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792dj |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1908523008 = -1 · 214 · 32 · 7 · 432 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145,2159] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:48:1] |
Generators of the group modulo torsion |
j |
-20720464/116487 |
j-invariant |
L |
5.5939181917922 |
L(r)(E,1)/r! |
Ω |
1.2794434836202 |
Real period |
R |
1.0930373759115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57792i1 14448d1 |
Quadratic twists by: -4 8 |