Atkin-Lehner |
2- 3- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778y |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
15279796061712 = 24 · 312 · 73 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6206,7485] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:117:1] |
Generators of the group modulo torsion |
j |
36254831403673/20959939728 |
j-invariant |
L |
7.0172108244454 |
L(r)(E,1)/r! |
Ω |
0.59334613247844 |
Real period |
R |
1.4783130874941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926b1 |
Quadratic twists by: -3 |