Atkin-Lehner |
2- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4400l |
Isogeny class |
Conductor |
4400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-54517760000000 = -1 · 219 · 57 · 113 |
Discriminant |
Eigenvalues |
2- 1 5+ 5 11+ -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35408,-2600812] |
[a1,a2,a3,a4,a6] |
j |
-76711450249/851840 |
j-invariant |
L |
2.7824401181468 |
L(r)(E,1)/r! |
Ω |
0.17390250738417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
550i1 17600cj1 39600ef1 880e1 |
Quadratic twists by: -4 8 -3 5 |