Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720dt |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
120602448543744000 = 217 · 318 · 53 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3656748,-2691425072] |
[a1,a2,a3,a4,a6] |
j |
56594125707224978/1262172375 |
j-invariant |
L |
3.4936255575359 |
L(r)(E,1)/r! |
Ω |
0.10917579867795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720o4 13680t3 18240cs4 |
Quadratic twists by: -4 8 -3 |