Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840x |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5.8357528563548E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10143603,-116890161102] |
[a1,a2,a3,a4,a6] |
j |
-1431690694106609763/72384512000000000 |
j-invariant |
L |
2.1277283497116 |
L(r)(E,1)/r! |
Ω |
0.033245755464384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4230d3 33840bl1 |
Quadratic twists by: -4 -3 |