Atkin-Lehner |
2- 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6432j |
Isogeny class |
Conductor |
6432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-200060928 = -1 · 212 · 36 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 0 -4 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29,693] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:12:1] [-4:27:1] |
Generators of the group modulo torsion |
j |
-681472/48843 |
j-invariant |
L |
4.0660742514475 |
L(r)(E,1)/r! |
Ω |
1.4733031601178 |
Real period |
R |
0.68995885597683 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6432i1 12864t1 19296d1 |
Quadratic twists by: -4 8 -3 |