Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52560q |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
59671157760000 = 213 · 37 · 54 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10083,117218] |
[a1,a2,a3,a4,a6] |
Generators |
[169:-1800:1] |
Generators of the group modulo torsion |
j |
37966934881/19983750 |
j-invariant |
L |
6.8694405658437 |
L(r)(E,1)/r! |
Ω |
0.54825213319103 |
Real period |
R |
0.7831069126332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6570c2 17520o2 |
Quadratic twists by: -4 -3 |