Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120gj |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-207488738160 = -1 · 24 · 311 · 5 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 2 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6897,221551] |
[a1,a2,a3,a4,a6] |
Generators |
[110:891:1] |
Generators of the group modulo torsion |
j |
-212464384/1215 |
j-invariant |
L |
6.5261726289328 |
L(r)(E,1)/r! |
Ω |
1.0065379393137 |
Real period |
R |
0.5403151719929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999867627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21780bc1 29040df1 87120gi1 |
Quadratic twists by: -4 -3 -11 |