Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
33840bw |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
102789000000000000 = 212 · 37 · 512 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-155163,-17762038] |
[a1,a2,a3,a4,a6] |
j |
138356873478361/34423828125 |
j-invariant |
L |
1.9594669153834 |
L(r)(E,1)/r! |
Ω |
0.2449333644234 |
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 |
2115e3 11280o3 |
Quadratic twists by: -4 -3 |