Atkin-Lehner |
2- 11+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128986s |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
18247680 |
Modular degree for the optimal curve |
Δ |
-3.0256597314097E+24 |
Discriminant |
Eigenvalues |
2- 0 -1 1 11+ 13- -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10495517,82656686115] |
[a1,a2,a3,a4,a6] |
Generators |
[-2813:177098:1] [-741:273266:1] |
Generators of the group modulo torsion |
j |
54225191412885501/1283175086096384 |
j-invariant |
L |
16.900335458159 |
L(r)(E,1)/r! |
Ω |
0.060031946724852 |
Real period |
R |
0.87975738241614 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128986a1 |
Quadratic twists by: -11 |