Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600ie |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1427673600000000 = 215 · 38 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-456033,118368063] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:13500:1] |
Generators of the group modulo torsion |
j |
20485356001928/2788425 |
j-invariant |
L |
9.9259356070472 |
L(r)(E,1)/r! |
Ω |
0.46227045778367 |
Real period |
R |
1.3420086985127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000473 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600fy4 40800d4 16320bx4 |
Quadratic twists by: -4 8 5 |