Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14280o |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3614236913925120 = -1 · 210 · 3 · 5 · 712 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33776,3740400] |
[a1,a2,a3,a4,a6] |
j |
-4161608878537156/3529528236255 |
j-invariant |
L |
1.6249912454766 |
L(r)(E,1)/r! |
Ω |
0.40624781136914 |
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 |
28560k3 114240bs3 42840cg3 71400cx3 |
Quadratic twists by: -4 8 -3 5 |