Atkin-Lehner |
2- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11552n |
Isogeny class |
Conductor |
11552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1321728810102784 = 212 · 199 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27436,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
0.40746660178766 |
L(r)(E,1)/r! |
Ω |
0.40746660178766 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11552n2 23104y1 103968i2 11552a2 |
Quadratic twists by: -4 8 -3 -19 |