Atkin-Lehner |
2- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
82646g |
Isogeny class |
Conductor |
82646 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
605717712267776 = 29 · 317 · 43 |
Discriminant |
Eigenvalues |
2- 0 -1 -2 -5 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-199588,-34249785] |
[a1,a2,a3,a4,a6] |
Generators |
[-6945:-385:27] [-255:249:1] |
Generators of the group modulo torsion |
j |
990728800209/682496 |
j-invariant |
L |
13.431274252802 |
L(r)(E,1)/r! |
Ω |
0.22588327543064 |
Real period |
R |
3.3033959753036 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2666d1 |
Quadratic twists by: -31 |