Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20640h |
Isogeny class |
Conductor |
20640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-90279360000 = -1 · 29 · 38 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-216,-14580] |
[a1,a2,a3,a4,a6] |
j |
-2186875592/176326875 |
j-invariant |
L |
1.8946351781218 |
L(r)(E,1)/r! |
Ω |
0.47365879453044 |
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 |
20640c4 41280cs3 61920bz2 103200by2 |
Quadratic twists by: -4 8 -3 5 |