Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33840bl |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
8.1216E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47329947,124576880714] |
[a1,a2,a3,a4,a6] |
j |
106024944656903749761123/734375000000000000 |
j-invariant |
L |
3.917894004328 |
L(r)(E,1)/r! |
Ω |
0.10883038900911 |
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 |
4230x2 33840x4 |
Quadratic twists by: -4 -3 |