Atkin-Lehner |
2+ 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20640d |
Isogeny class |
Conductor |
20640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-17253388800 = -1 · 29 · 36 · 52 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,-6300] |
[a1,a2,a3,a4,a6] |
j |
-376367048/33698025 |
j-invariant |
L |
2.1776993696062 |
L(r)(E,1)/r! |
Ω |
0.54442484240154 |
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 |
20640x2 41280bf2 61920br2 103200cp2 |
Quadratic twists by: -4 8 -3 5 |