Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960bm |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.5164047518925E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2401068,281682992] |
[a1,a2,a3,a4,a6] |
j |
8010684753304969/4456448000000 |
j-invariant |
L |
2.1934589450788 |
L(r)(E,1)/r! |
Ω |
0.13709118404773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960ej3 1530p3 5440l3 |
Quadratic twists by: -4 8 -3 |