Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416er |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
18025934524416 = 212 · 312 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6564,13120] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:360:1] |
Generators of the group modulo torsion |
j |
10474708672/6036849 |
j-invariant |
L |
6.0634721723558 |
L(r)(E,1)/r! |
Ω |
0.58771259540954 |
Real period |
R |
2.5792675789523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52416fz2 26208bm1 17472co2 |
Quadratic twists by: -4 8 -3 |