Atkin-Lehner |
2- 3+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
16854o |
Isogeny class |
Conductor |
16854 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
2083536 |
Modular degree for the optimal curve |
Δ |
-1.2534531289494E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 -5 2 -6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11181283,-15370557823] |
[a1,a2,a3,a4,a6] |
Generators |
[3979:54190:1] |
Generators of the group modulo torsion |
j |
-2483085516625/201326592 |
j-invariant |
L |
4.9869885147075 |
L(r)(E,1)/r! |
Ω |
0.04108986142242 |
Real period |
R |
1.5559981945734 |
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 |
50562p1 16854f1 |
Quadratic twists by: -3 53 |