Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440bc |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6550502400000000 = 216 · 39 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-277068,-55998992] |
[a1,a2,a3,a4,a6] |
j |
49235161015876/137109375 |
j-invariant |
L |
1.6650053852 |
L(r)(E,1)/r! |
Ω |
0.20812567315066 |
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 |
37440dq4 4680i3 12480bf4 |
Quadratic twists by: -4 8 -3 |