Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480r |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
213444000000 = 28 · 32 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5516,154284] |
[a1,a2,a3,a4,a6] |
j |
72516235474384/833765625 |
j-invariant |
L |
2.0053897610697 |
L(r)(E,1)/r! |
Ω |
1.0026948805348 |
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 |
9240c2 73920fn2 55440bf2 92400o2 |
Quadratic twists by: -4 8 -3 5 |