Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420n |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
5525256920400 = 24 · 38 · 52 · 7 · 673 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6316068,6109677817] |
[a1,a2,a3,a4,a6] |
Generators |
[-1929:105430:1] |
Generators of the group modulo torsion |
j |
2389002434581237252096/473701725 |
j-invariant |
L |
6.5230414706044 |
L(r)(E,1)/r! |
Ω |
0.44332284814093 |
Real period |
R |
7.3569876863897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001331 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
28140s3 |
Quadratic twists by: -3 |