Atkin-Lehner |
7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48139a |
Isogeny class |
Conductor |
48139 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1413120 |
Modular degree for the optimal curve |
Δ |
-1.3498272663141E+20 |
Discriminant |
Eigenvalues |
0 1 -1 7+ 1 13+ -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5118251,-4493498753] |
[a1,a2,a3,a4,a6] |
j |
-8232618917888/74942413 |
j-invariant |
L |
0.20063804988096 |
L(r)(E,1)/r! |
Ω |
0.050159512428965 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48139k1 |
Quadratic twists by: -23 |