Atkin-Lehner |
2- 11- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128986bf |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2380800 |
Modular degree for the optimal curve |
Δ |
-7907698262654476 = -1 · 22 · 1111 · 132 · 41 |
Discriminant |
Eigenvalues |
2- -2 -3 3 11- 13- 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-704767,-227826939] |
[a1,a2,a3,a4,a6] |
Generators |
[764814:128282701:27] |
Generators of the group modulo torsion |
j |
-21852660624673033/4463689516 |
j-invariant |
L |
7.1727563088063 |
L(r)(E,1)/r! |
Ω |
0.082385891154472 |
Real period |
R |
5.44143247047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000135264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11726e1 |
Quadratic twists by: -11 |