Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240y |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
33269760000 = 214 · 32 · 54 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7601,252399] |
[a1,a2,a3,a4,a6] |
j |
2964647793616/2030625 |
j-invariant |
L |
2.3101065167801 |
L(r)(E,1)/r! |
Ω |
1.15505325839 |
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 |
18240bu2 2280b2 54720bm2 91200a2 |
Quadratic twists by: -4 8 -3 5 |