Atkin-Lehner |
3- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105963n |
Isogeny class |
Conductor |
105963 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-9832803630507 = -1 · 33 · 11 · 136 · 193 |
Discriminant |
Eigenvalues |
0 3- 0 -2 11+ 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5080703,-4409615245] |
[a1,a2,a3,a4,a6] |
j |
-3004935183806464000/2037123 |
j-invariant |
L |
1.357539072077 |
L(r)(E,1)/r! |
Ω |
0.050279227883527 |
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 |
627b2 |
Quadratic twists by: 13 |