Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744ba |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
-27890517401443584 = -1 · 28 · 316 · 17 · 533 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -4 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2363583,1398658106] |
[a1,a2,a3,a4,a6] |
Generators |
[898:558:1] |
Generators of the group modulo torsion |
j |
-7824719744386534096/149447645541 |
j-invariant |
L |
2.7223538675789 |
L(r)(E,1)/r! |
Ω |
0.34443114049353 |
Real period |
R |
3.9519566593951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999589545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32436e1 43248t1 |
Quadratic twists by: -4 -3 |