Atkin-Lehner |
5+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
112385g |
Isogeny class |
Conductor |
112385 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-1.0357720027463E+21 |
Discriminant |
Eigenvalues |
2 -1 5+ 7+ 3 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2815596,-2387453469] |
[a1,a2,a3,a4,a6] |
j |
-511416541770305536/214587319023035 |
j-invariant |
L |
5.1391864352372 |
L(r)(E,1)/r! |
Ω |
0.057102070649236 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
665d2 |
Quadratic twists by: 13 |