Atkin-Lehner |
2- 3- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
39672k |
Isogeny class |
Conductor |
39672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-2982064896 = -1 · 28 · 36 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- -3 1 1 -6 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84,2644] |
[a1,a2,a3,a4,a6] |
Generators |
[12:58:1] [-4:54:1] |
Generators of the group modulo torsion |
j |
-351232/15979 |
j-invariant |
L |
7.7602939590479 |
L(r)(E,1)/r! |
Ω |
1.1833917893366 |
Real period |
R |
0.81970886871271 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79344o1 4408a1 |
Quadratic twists by: -4 -3 |