Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120dl |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6122514816000000 = 213 · 33 · 56 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46827,1019546] |
[a1,a2,a3,a4,a6] |
j |
57960603/31250 |
j-invariant |
L |
4.4501906158179 |
L(r)(E,1)/r! |
Ω |
0.37084921066853 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890bi2 87120cy4 720g2 |
Quadratic twists by: -4 -3 -11 |