Atkin-Lehner |
2+ 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19266g |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4087466672827122 = -1 · 2 · 32 · 136 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 0 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-70646,-7860526] |
[a1,a2,a3,a4,a6] |
j |
-8078253774625/846825858 |
j-invariant |
L |
2.6200188036792 |
L(r)(E,1)/r! |
Ω |
0.1455566002044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57798bf4 114a4 |
Quadratic twists by: -3 13 |