Atkin-Lehner |
2- 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20748t |
Isogeny class |
Conductor |
20748 |
Conductor |
∏ cp |
2160 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-9.1721740321729E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1421727,1303335504] |
[a1,a2,a3,a4,a6] |
Generators |
[-597:15561:1] |
Generators of the group modulo torsion |
j |
19863329986832340992000/57326087701080650907 |
j-invariant |
L |
6.800152636569 |
L(r)(E,1)/r! |
Ω |
0.11064287177497 |
Real period |
R |
0.11381551338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992bu1 62244bg1 |
Quadratic twists by: -4 -3 |