Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520ge |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
90403651584000000 = 220 · 38 · 56 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-154092,-18242224] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:1595:1] |
Generators of the group modulo torsion |
j |
2117368939321/473062500 |
j-invariant |
L |
8.0983602780618 |
L(r)(E,1)/r! |
Ω |
0.24481404104473 |
Real period |
R |
2.7566366444144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984306 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83520ct2 20880br2 27840cf2 |
Quadratic twists by: -4 8 -3 |