Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810ck |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
180866356775058500 = 22 · 53 · 78 · 137 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-241702,40965201] |
[a1,a2,a3,a4,a6] |
j |
2749884201/318500 |
j-invariant |
L |
3.7166040921255 |
L(r)(E,1)/r! |
Ω |
0.30971700932106 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830o1 6370e1 |
Quadratic twists by: -7 13 |