Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568y |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
17050312168501248 = 212 · 36 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 6 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1060193,419770287] |
[a1,a2,a3,a4,a6] |
j |
6665900968000/862407 |
j-invariant |
L |
4.5068552250591 |
L(r)(E,1)/r! |
Ω |
0.37557115002928 |
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 |
113568bx2 8736y2 |
Quadratic twists by: -4 13 |