Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416et |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
392564796309504 = 214 · 310 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23196,-969680] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:572:1] |
Generators of the group modulo torsion |
j |
115562131792/32867289 |
j-invariant |
L |
4.6569461895384 |
L(r)(E,1)/r! |
Ω |
0.39521644127564 |
Real period |
R |
2.9458201273862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52416co2 13104v2 17472cm2 |
Quadratic twists by: -4 8 -3 |