Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188bh |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
648737683759872 = 28 · 38 · 78 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-160671,-24758426] |
[a1,a2,a3,a4,a6] |
Generators |
[-229:162:1] |
Generators of the group modulo torsion |
j |
20892021712/29547 |
j-invariant |
L |
5.6897556676304 |
L(r)(E,1)/r! |
Ω |
0.23848005663916 |
Real period |
R |
1.9882010827863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999747536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39396p2 16884k2 |
Quadratic twists by: -3 -7 |