Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722dz |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7983360 |
Modular degree for the optimal curve |
Δ |
-8.5616950941396E+21 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11+ 6 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2311198,-4242011903] |
[a1,a2,a3,a4,a6] |
j |
5103/32 |
j-invariant |
L |
5.2196970246861 |
L(r)(E,1)/r! |
Ω |
0.065246217493723 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722b1 106722el1 106722a1 |
Quadratic twists by: -3 -7 -11 |