Atkin-Lehner |
2- 3+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
54384k |
Isogeny class |
Conductor |
54384 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3576960 |
Modular degree for the optimal curve |
Δ |
9.2700731561657E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 11+ 1 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12125712,-15573880512] |
[a1,a2,a3,a4,a6] |
Generators |
[-185616677:2042702798:103823] |
Generators of the group modulo torsion |
j |
48137723387280301310353/2263201454142007038 |
j-invariant |
L |
5.9374846914451 |
L(r)(E,1)/r! |
Ω |
0.08114019125737 |
Real period |
R |
12.195938493163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6798m1 |
Quadratic twists by: -4 |