Atkin-Lehner |
2- 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47138k |
Isogeny class |
Conductor |
47138 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
59616 |
Modular degree for the optimal curve |
Δ |
-228603461632 = -1 · 218 · 72 · 13 · 372 |
Discriminant |
Eigenvalues |
2- -2 2 7- 1 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,433,22777] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:149:1] |
Generators of the group modulo torsion |
j |
183201334463/4665376768 |
j-invariant |
L |
7.1164847294802 |
L(r)(E,1)/r! |
Ω |
0.74556366776981 |
Real period |
R |
0.26514185162185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47138i1 |
Quadratic twists by: -7 |