Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722ei |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-5.7054194713134E+19 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11- -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-359316299,2621672114779] |
[a1,a2,a3,a4,a6] |
Generators |
[11003:5146:1] |
Generators of the group modulo torsion |
j |
-61279455929796531/681472 |
j-invariant |
L |
6.9661217438279 |
L(r)(E,1)/r! |
Ω |
0.1391981952166 |
Real period |
R |
0.69506426232922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722j1 106722fd2 9702d2 |
Quadratic twists by: -3 -7 -11 |