Atkin-Lehner |
2+ 3- 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650p |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1120896 |
Modular degree for the optimal curve |
Δ |
26160765410965200 = 24 · 3 · 52 · 197 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -5 4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-158756,-23082862] |
[a1,a2,a3,a4,a6] |
j |
17699875632134484385/1046430616438608 |
j-invariant |
L |
0.48011919084117 |
L(r)(E,1)/r! |
Ω |
0.240059570631 |
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 |
82650bv1 |
Quadratic twists by: 5 |