Atkin-Lehner |
3- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
12483k |
Isogeny class |
Conductor |
12483 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
172902033 = 38 · 192 · 73 |
Discriminant |
Eigenvalues |
-1 3- 0 -4 -6 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-185,776] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:43:1] [-3:37:1] |
Generators of the group modulo torsion |
j |
955671625/237177 |
j-invariant |
L |
3.8907207683542 |
L(r)(E,1)/r! |
Ω |
1.6952152865085 |
Real period |
R |
1.147559486786 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4161f1 |
Quadratic twists by: -3 |