Atkin-Lehner |
3- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
56277r |
Isogeny class |
Conductor |
56277 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-1.6082278334304E+21 |
Discriminant |
Eigenvalues |
-2 3- 2 -2 5 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-718419,-1943626032] |
[a1,a2,a3,a4,a6] |
j |
-5304438784/208031871 |
j-invariant |
L |
1.3111518404787 |
L(r)(E,1)/r! |
Ω |
0.065557592262729 |
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 |
18759m2 56277q2 |
Quadratic twists by: -3 13 |