Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9680g |
Isogeny class |
Conductor |
9680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5.358972025E+19 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-317867,358898826] |
[a1,a2,a3,a4,a6] |
Generators |
[-253:20570:1] |
Generators of the group modulo torsion |
j |
-1957960715364/29541015625 |
j-invariant |
L |
5.0769837203158 |
L(r)(E,1)/r! |
Ω |
0.16852019715716 |
Real period |
R |
2.5105713370274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4840h4 38720bt3 87120bj3 48400n3 |
Quadratic twists by: -4 8 -3 5 |