Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150bn |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
-178441095218750000 = -1 · 24 · 59 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 4 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,140745,-146753] |
[a1,a2,a3,a4,a6] |
j |
24191271/14000 |
j-invariant |
L |
9.1827861366515 |
L(r)(E,1)/r! |
Ω |
0.19130804462261 |
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 |
11830e1 59150q1 |
Quadratic twists by: 5 13 |