Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19266w |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-371973208776 = -1 · 23 · 3 · 138 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 6 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37944,2841864] |
[a1,a2,a3,a4,a6] |
Generators |
[14:1514:1] |
Generators of the group modulo torsion |
j |
-7406396257/456 |
j-invariant |
L |
8.7002084642855 |
L(r)(E,1)/r! |
Ω |
0.90390558823723 |
Real period |
R |
1.0694588482966 |
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 |
57798l1 19266k1 |
Quadratic twists by: -3 13 |