Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
564b |
Isogeny class |
Conductor |
564 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
79736064 = 28 · 3 · 473 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -3 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-517,-4681] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:3:1] |
Generators of the group modulo torsion |
j |
59812937728/311469 |
j-invariant |
L |
2.0285919557301 |
L(r)(E,1)/r! |
Ω |
1.0013665522432 |
Real period |
R |
2.025823561997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2256k2 9024f2 1692d2 14100d2 |
Quadratic twists by: -4 8 -3 5 |