Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362v |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4181760 |
Modular degree for the optimal curve |
Δ |
3.3723244848403E+19 |
Discriminant |
Eigenvalues |
2- -2 -2 -4 11+ 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-830849,83035129] |
[a1,a2,a3,a4,a6] |
Generators |
[-920:8763:1] |
Generators of the group modulo torsion |
j |
571787/304 |
j-invariant |
L |
4.3872370930867 |
L(r)(E,1)/r! |
Ω |
0.18145169205526 |
Real period |
R |
3.0223175745185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999783206 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87362a1 4598a1 |
Quadratic twists by: -11 -19 |