Atkin-Lehner |
2- 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080bp |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
7.5489781465344E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18747520,31222072960] |
[a1,a2,a3,a4,a6] |
Generators |
[1786:58590:1] |
Generators of the group modulo torsion |
j |
177907912580185004004481/184301224280625690 |
j-invariant |
L |
4.7116954738802 |
L(r)(E,1)/r! |
Ω |
0.15912635503119 |
Real period |
R |
1.8506109000934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6510z5 |
Quadratic twists by: -4 |