Atkin-Lehner |
3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82365i |
Isogeny class |
Conductor |
82365 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-376120651746375 = -1 · 38 · 53 · 176 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6496,-910519] |
[a1,a2,a3,a4,a6] |
j |
1256216039/15582375 |
j-invariant |
L |
1.0521833468709 |
L(r)(E,1)/r! |
Ω |
0.26304583373526 |
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 |
285c1 |
Quadratic twists by: 17 |