Atkin-Lehner |
2- 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080bp |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
1.7663471514829E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1460320,229580800] |
[a1,a2,a3,a4,a6] |
Generators |
[-560:29520:1] |
Generators of the group modulo torsion |
j |
84082992761153443681/43123709753000100 |
j-invariant |
L |
4.7116954738802 |
L(r)(E,1)/r! |
Ω |
0.15912635503119 |
Real period |
R |
3.7012218001868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
6510z3 |
Quadratic twists by: -4 |