Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480bk |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-5659500000000 = -1 · 28 · 3 · 59 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2381,123681] |
[a1,a2,a3,a4,a6] |
j |
-5833703071744/22107421875 |
j-invariant |
L |
1.3282482583 |
L(r)(E,1)/r! |
Ω |
0.66412412915002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4620k2 73920hq2 55440eh2 92400gv2 |
Quadratic twists by: -4 8 -3 5 |