Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27144b |
Isogeny class |
Conductor |
27144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
73452966912 = 210 · 38 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 0 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2235,-38522] |
[a1,a2,a3,a4,a6] |
j |
1653974500/98397 |
j-invariant |
L |
2.7877401440836 |
L(r)(E,1)/r! |
Ω |
0.69693503602089 |
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 |
54288d2 9048m2 |
Quadratic twists by: -4 -3 |