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 |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-185929377740496 = -1 · 24 · 33 · 137 · 193 |
Discriminant |
Eigenvalues |
2- 3- -3 1 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1433,-655591] |
[a1,a2,a3,a4,a6] |
Generators |
[92:461:1] |
Generators of the group modulo torsion |
j |
67419143/38520144 |
j-invariant |
L |
7.8507036504802 |
L(r)(E,1)/r! |
Ω |
0.26561332088159 |
Real period |
R |
1.2315370743366 |
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 |
57798n1 1482f1 |
Quadratic twists by: -3 13 |