Atkin-Lehner |
11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
64009d |
Isogeny class |
Conductor |
64009 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4.2236366800975E+19 |
Discriminant |
Eigenvalues |
2 -1 -1 -2 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-661426,-374796995] |
[a1,a2,a3,a4,a6] |
Generators |
[13777363105458:-20159493095736901:6434856] |
Generators of the group modulo torsion |
j |
-122023936/161051 |
j-invariant |
L |
6.2665122066808 |
L(r)(E,1)/r! |
Ω |
0.079794505295632 |
Real period |
R |
19.633282340256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5819a2 121d2 |
Quadratic twists by: -11 -23 |