Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640dz |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
10243584 |
Modular degree for the optimal curve |
Δ |
-5.7699723381666E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 -1 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17876840,29315406900] |
[a1,a2,a3,a4,a6] |
j |
-9082538350921/82944000 |
j-invariant |
L |
6.5087984952876 |
L(r)(E,1)/r! |
Ω |
0.13559996890668 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10830f1 86640cu1 |
Quadratic twists by: -4 -19 |