Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880cx |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
20700187640000 = 26 · 54 · 11 · 196 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11+ -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6880,20622] |
[a1,a2,a3,a4,a6] |
Generators |
[61854:1000405:216] |
Generators of the group modulo torsion |
j |
562823439022144/323440431875 |
j-invariant |
L |
9.4924814913905 |
L(r)(E,1)/r! |
Ω |
0.58243017218403 |
Real period |
R |
8.1490296560624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880dt1 33440j2 |
Quadratic twists by: -4 8 |