Atkin-Lehner |
2- 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080bz |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
2048 |
Product of Tamagawa factors cp |
Δ |
1.9947243421772E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12555040,15712582388] |
[a1,a2,a3,a4,a6] |
Generators |
[986:65520:1] |
Generators of the group modulo torsion |
j |
53434051027037036566561/4869932476018522500 |
j-invariant |
L |
7.9759400562626 |
L(r)(E,1)/r! |
Ω |
0.11851929119881 |
Real period |
R |
2.1030173589217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
6510r3 |
Quadratic twists by: -4 |