Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480bl |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1399409442816000000 = -1 · 221 · 3 · 56 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26136,56947440] |
[a1,a2,a3,a4,a6] |
j |
-482056280171929/341652696000000 |
j-invariant |
L |
0.87344569199459 |
L(r)(E,1)/r! |
Ω |
0.21836142299865 |
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 |
2310i4 73920hs4 55440ei4 92400gy4 |
Quadratic twists by: -4 8 -3 5 |