Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17784o |
Isogeny class |
Conductor |
17784 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-1.0543244993553E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 4 2 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4137735,-5907681718] |
[a1,a2,a3,a4,a6] |
j |
-41980174295570098000/56494582655784507 |
j-invariant |
L |
3.2271029037348 |
L(r)(E,1)/r! |
Ω |
0.050423482870856 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35568g2 5928a2 |
Quadratic twists by: -4 -3 |