Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920dy |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
50357757542400 = 222 · 34 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10081,-184319] |
[a1,a2,a3,a4,a6] |
j |
432252699481/192099600 |
j-invariant |
L |
1.9860094075099 |
L(r)(E,1)/r! |
Ω |
0.49650235118914 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920cu2 18480cz2 |
Quadratic twists by: -4 8 |