Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
2064o |
Isogeny class |
Conductor |
2064 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
-818827150639104 = -1 · 214 · 319 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 1 1 1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-705984,-228557772] |
[a1,a2,a3,a4,a6] |
j |
-9500554530751882177/199908972324 |
j-invariant |
L |
3.1293478541772 |
L(r)(E,1)/r! |
Ω |
0.082351259320454 |
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 |
258e1 8256bg1 6192y1 51600bp1 |
Quadratic twists by: -4 8 -3 5 |