Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
1440d |
Isogeny class |
Conductor |
1440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12244400640 = 29 · 314 · 5 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723,-5258] |
[a1,a2,a3,a4,a6] |
j |
111980168/32805 |
j-invariant |
L |
1.8827722744093 |
L(r)(E,1)/r! |
Ω |
0.94138613720464 |
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 |
1440e3 2880bf3 480h3 7200bp2 |
Quadratic twists by: -4 8 -3 5 |