Atkin-Lehner |
5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
55055u |
Isogeny class |
Conductor |
55055 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-2.0212021368796E+19 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 11- 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,85403,-216111156] |
[a1,a2,a3,a4,a6] |
Generators |
[4446:11083:8] |
Generators of the group modulo torsion |
j |
38885863610439/11409159136375 |
j-invariant |
L |
3.6897867490554 |
L(r)(E,1)/r! |
Ω |
0.10153692132211 |
Real period |
R |
3.0282800096743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000141 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5005b1 |
Quadratic twists by: -11 |