Atkin-Lehner |
2- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27968bh |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
82710102016 = 219 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3 -1 -2 -1 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1228,9104] |
[a1,a2,a3,a4,a6] |
j |
781229961/315514 |
j-invariant |
L |
3.9234738428404 |
L(r)(E,1)/r! |
Ω |
0.9808684607102 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27968w1 6992t1 |
Quadratic twists by: -4 8 |