Atkin-Lehner |
2- 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
44650p |
Isogeny class |
Conductor |
44650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
45696 |
Modular degree for the optimal curve |
Δ |
8930000000 = 27 · 57 · 19 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -5 -3 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1188,14992] |
[a1,a2,a3,a4,a6] |
Generators |
[12:44:1] [-18:184:1] |
Generators of the group modulo torsion |
j |
11867954041/571520 |
j-invariant |
L |
8.9646160304053 |
L(r)(E,1)/r! |
Ω |
1.2856490768002 |
Real period |
R |
0.24902974225728 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8930e1 |
Quadratic twists by: 5 |