Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6864g |
Isogeny class |
Conductor |
6864 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-2922572150784 = -1 · 211 · 310 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 11+ 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4856,152436] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:468:1] |
Generators of the group modulo torsion |
j |
-6184708364018/1427037183 |
j-invariant |
L |
4.2431279468027 |
L(r)(E,1)/r! |
Ω |
0.76657463223379 |
Real period |
R |
0.046126493194345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3432a1 27456bq1 20592m1 75504p1 |
Quadratic twists by: -4 8 -3 -11 |