Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15840bc |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
69284160000 = 29 · 39 · 54 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28587,1860334] |
[a1,a2,a3,a4,a6] |
j |
6922005943112/185625 |
j-invariant |
L |
2.0375619953401 |
L(r)(E,1)/r! |
Ω |
1.0187809976701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15840bf2 31680cr4 5280g2 79200u4 |
Quadratic twists by: -4 8 -3 5 |