Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gx |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-2.0178042805113E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2557589,1589728781] |
[a1,a2,a3,a4,a6] |
Generators |
[963:3892:1] |
Generators of the group modulo torsion |
j |
-178284948703873/1944365472 |
j-invariant |
L |
13.303716023164 |
L(r)(E,1)/r! |
Ω |
0.21711402006986 |
Real period |
R |
1.531881266238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574bh1 15246bg1 106722dg1 |
Quadratic twists by: -3 -7 -11 |