Atkin-Lehner |
3+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
110019f |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.9655456009011E+22 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36012129,82891508136] |
[a1,a2,a3,a4,a6] |
Generators |
[-3804:407924:1] [1263:197925:1] |
Generators of the group modulo torsion |
j |
1070064584336375154073/4072142902072791 |
j-invariant |
L |
5.7758580095695 |
L(r)(E,1)/r! |
Ω |
0.12240241417835 |
Real period |
R |
3.9322876438428 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463d2 |
Quadratic twists by: 13 |