Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12642bk |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
287280 |
Modular degree for the optimal curve |
Δ |
-23519090684946276 = -1 · 22 · 319 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -1 -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2162077,-1223845771] |
[a1,a2,a3,a4,a6] |
j |
-9500554530751882177/199908972324 |
j-invariant |
L |
2.3655646251333 |
L(r)(E,1)/r! |
Ω |
0.062251700661403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101136bw1 37926p1 258e1 |
Quadratic twists by: -4 -3 -7 |