Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722fl |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
21954240 |
Modular degree for the optimal curve |
Δ |
2.0294388371294E+22 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11+ -3 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66168752,-207040361965] |
[a1,a2,a3,a4,a6] |
Generators |
[-128949:194899:27] |
Generators of the group modulo torsion |
j |
3233229419/2048 |
j-invariant |
L |
7.8467156099929 |
L(r)(E,1)/r! |
Ω |
0.0529362084075 |
Real period |
R |
2.2459037761106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858a1 106722gd1 106722bm1 |
Quadratic twists by: -3 -7 -11 |