Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19266s |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
51 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
-455804583936 = -1 · 217 · 3 · 132 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 4 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4989,-141549] |
[a1,a2,a3,a4,a6] |
Generators |
[87:260:1] |
Generators of the group modulo torsion |
j |
-81261149221993/2697068544 |
j-invariant |
L |
6.4504233495971 |
L(r)(E,1)/r! |
Ω |
0.2834774314306 |
Real period |
R |
0.44616916616428 |
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 |
57798u1 19266b1 |
Quadratic twists by: -3 13 |