Atkin-Lehner |
2- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27328x |
Isogeny class |
Conductor |
27328 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-27328 = -1 · 26 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 2 -4 7+ -2 -2 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,11] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
-262144/427 |
j-invariant |
L |
4.8552391523244 |
L(r)(E,1)/r! |
Ω |
3.3595140406248 |
Real period |
R |
1.4452206758515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27328m1 6832d1 |
Quadratic twists by: -4 8 |