Atkin-Lehner |
2- 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38592ci |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2400731136 = -1 · 214 · 37 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-444,4304] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:-72:1] [-10:88:1] |
Generators of the group modulo torsion |
j |
-810448/201 |
j-invariant |
L |
7.0986630777285 |
L(r)(E,1)/r! |
Ω |
1.382781925379 |
Real period |
R |
0.32085062309186 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38592s1 9648m1 12864bf1 |
Quadratic twists by: -4 8 -3 |