Atkin-Lehner |
2- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
45760bg |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-518826440704000 = -1 · 214 · 53 · 117 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11+ 13- -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22341,1696541] |
[a1,a2,a3,a4,a6] |
Generators |
[4155628604:280233160113:912673] |
Generators of the group modulo torsion |
j |
-75271580947456/31666652875 |
j-invariant |
L |
8.5934004419872 |
L(r)(E,1)/r! |
Ω |
0.48875038495651 |
Real period |
R |
17.582391147877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45760l1 11440g1 |
Quadratic twists by: -4 8 |