Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600cp |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
652800000000 = 215 · 3 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1360033,610028063] |
[a1,a2,a3,a4,a6] |
j |
543378448339208/1275 |
j-invariant |
L |
2.383265741502 |
L(r)(E,1)/r! |
Ω |
0.59581642857212 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600b4 40800bf4 16320f3 |
Quadratic twists by: -4 8 5 |