Atkin-Lehner |
2- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880dt |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
24 |
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 |
[-79:190:1] |
Generators of the group modulo torsion |
j |
562823439022144/323440431875 |
j-invariant |
L |
3.6553545265528 |
L(r)(E,1)/r! |
Ω |
0.56972377260153 |
Real period |
R |
1.0693353231895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880cx1 33440b2 |
Quadratic twists by: -4 8 |