Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520fl |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
3896709120 = 212 · 38 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1668,26048] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:216:1] [-14:216:1] |
Generators of the group modulo torsion |
j |
171879616/1305 |
j-invariant |
L |
9.029480420717 |
L(r)(E,1)/r! |
Ω |
1.401564854462 |
Real period |
R |
1.6106069569351 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999428 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fj1 41760r1 27840db1 |
Quadratic twists by: -4 8 -3 |