Atkin-Lehner |
2- 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664cd |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
71995392 = 212 · 34 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -2 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-313,-1991] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:4:1] [21:16:1] |
Generators of the group modulo torsion |
j |
830584000/17577 |
j-invariant |
L |
7.5198879547673 |
L(r)(E,1)/r! |
Ω |
1.1362054871811 |
Real period |
R |
3.3092112472653 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664eg1 20832j1 124992ej1 |
Quadratic twists by: -4 8 -3 |