Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160bv |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
17233920 |
Modular degree for the optimal curve |
Δ |
4.5354747220521E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- 3 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113399425,463705186177] |
[a1,a2,a3,a4,a6] |
Generators |
[5889:9680:1] |
Generators of the group modulo torsion |
j |
5739907130357378/16142520375 |
j-invariant |
L |
6.2232439199815 |
L(r)(E,1)/r! |
Ω |
0.094113271978067 |
Real period |
R |
1.8368066855406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999710034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160iw1 14520bk1 116160bq1 |
Quadratic twists by: -4 8 -11 |