Atkin-Lehner |
2+ 3- 13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75582k |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.0090334044413E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3512106,-1328577228] |
[a1,a2,a3,a4,a6] |
Generators |
[241985309:23531363638:24389] |
Generators of the group modulo torsion |
j |
6572023359344013426337/2755875726256970304 |
j-invariant |
L |
5.4052419056653 |
L(r)(E,1)/r! |
Ω |
0.11447639279548 |
Real period |
R |
11.804271986238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998927 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25194z2 |
Quadratic twists by: -3 |