Atkin-Lehner |
2- 11- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128986bb |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
705600 |
Modular degree for the optimal curve |
Δ |
-837459572233856 = -1 · 27 · 116 · 133 · 412 |
Discriminant |
Eigenvalues |
2- 1 1 1 11- 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-204795,-35716207] |
[a1,a2,a3,a4,a6] |
Generators |
[538:2877:1] |
Generators of the group modulo torsion |
j |
-536198730680521/472724096 |
j-invariant |
L |
14.946609057873 |
L(r)(E,1)/r! |
Ω |
0.11220617306922 |
Real period |
R |
1.5857934955482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000151965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1066a1 |
Quadratic twists by: -11 |