Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240t |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7352687001600 = 218 · 310 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 6 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4865,-4863] |
[a1,a2,a3,a4,a6] |
j |
48587168449/28048275 |
j-invariant |
L |
1.2477944965392 |
L(r)(E,1)/r! |
Ω |
0.62389724826962 |
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 |
18240cv2 285a2 54720z2 91200cx2 |
Quadratic twists by: -4 8 -3 5 |