Atkin-Lehner |
2+ 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290ba |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
7357541358581850870 = 2 · 38 · 5 · 73 · 836 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-486270,-1651914] |
[a1,a2,a3,a4,a6] |
j |
17443318757580465121/10092649325901030 |
j-invariant |
L |
1.585875859243 |
L(r)(E,1)/r! |
Ω |
0.19823448238162 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
17430bq4 |
Quadratic twists by: -3 |