Atkin-Lehner |
3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82365c |
Isogeny class |
Conductor |
82365 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-7.162385833628E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 -2 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,63574,407160254] |
[a1,a2,a3,a4,a6] |
Generators |
[28186:4718303:1] |
Generators of the group modulo torsion |
j |
1177249106879/2967318636615 |
j-invariant |
L |
2.6843274744572 |
L(r)(E,1)/r! |
Ω |
0.15267912332198 |
Real period |
R |
8.7907482571305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4845f1 |
Quadratic twists by: 17 |