Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19266y |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2475853677613056 = -1 · 212 · 3 · 139 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 1 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-528382,-147895996] |
[a1,a2,a3,a4,a6] |
Generators |
[2068:86170:1] |
Generators of the group modulo torsion |
j |
-3379929898439017/512937984 |
j-invariant |
L |
7.8507036504802 |
L(r)(E,1)/r! |
Ω |
0.088537773627196 |
Real period |
R |
3.6946112230098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57798n2 1482f2 |
Quadratic twists by: -3 13 |