Atkin-Lehner |
2- 3- 11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74646bx |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
792 |
Product of Tamagawa factors cp |
deg |
82684800 |
Modular degree for the optimal curve |
Δ |
-1.3788162064364E+29 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11- 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1241945761,5947447554119] |
[a1,a2,a3,a4,a6] |
Generators |
[123769:-45401036:1] |
Generators of the group modulo torsion |
j |
290605662666279325370952010583/189138025574269452879570944 |
j-invariant |
L |
6.552103800651 |
L(r)(E,1)/r! |
Ω |
0.020473908448617 |
Real period |
R |
0.40406834656748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8294a1 |
Quadratic twists by: -3 |