Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
1440d |
Isogeny class |
Conductor |
1440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
94478400 = 26 · 310 · 52 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273,1672] |
[a1,a2,a3,a4,a6] |
j |
48228544/2025 |
j-invariant |
L |
1.8827722744093 |
L(r)(E,1)/r! |
Ω |
1.8827722744093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1440e1 2880bf2 480h1 7200bp1 |
Quadratic twists by: -4 8 -3 5 |