Atkin-Lehner |
2- 5+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450z |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-5.9018104742187E+23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -2 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15777120,-28010232253] |
[a1,a2,a3,a4,a6] |
Generators |
[5449:466025:1] |
Generators of the group modulo torsion |
j |
27796294107467338273911/37771587035000000000 |
j-invariant |
L |
8.0392343390089 |
L(r)(E,1)/r! |
Ω |
0.048860856210735 |
Real period |
R |
2.2851837061487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000447 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17290f2 |
Quadratic twists by: 5 |