Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544et |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-1.1978445706855E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 6 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1920684,1151944400] |
[a1,a2,a3,a4,a6] |
Generators |
[11500:1224720:1] |
Generators of the group modulo torsion |
j |
-4100379159705193/626805817344 |
j-invariant |
L |
8.8227072859149 |
L(r)(E,1)/r! |
Ω |
0.17993326796167 |
Real period |
R |
4.0861015614837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999708 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544bp1 17136bq1 22848cd1 |
Quadratic twists by: -4 8 -3 |