Atkin-Lehner |
2+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
50410h |
Isogeny class |
Conductor |
50410 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1860768 |
Modular degree for the optimal curve |
Δ |
-2.6450064639826E+19 |
Discriminant |
Eigenvalues |
2+ 2 5- 5 -1 -1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,365368,232533824] |
[a1,a2,a3,a4,a6] |
Generators |
[-5190499567155:1119269878334159:77472219447] |
Generators of the group modulo torsion |
j |
8353079/40960 |
j-invariant |
L |
8.1634770250215 |
L(r)(E,1)/r! |
Ω |
0.15189007667653 |
Real period |
R |
17.915317892265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50410i1 |
Quadratic twists by: -71 |