Atkin-Lehner |
2+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
44890g |
Isogeny class |
Conductor |
44890 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-224450 = -1 · 2 · 52 · 672 |
Discriminant |
Eigenvalues |
2+ 3 5- 2 0 -6 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4,-22] |
[a1,a2,a3,a4,a6] |
Generators |
[129:128:27] |
Generators of the group modulo torsion |
j |
-1809/50 |
j-invariant |
L |
8.9360305126004 |
L(r)(E,1)/r! |
Ω |
1.3652080043421 |
Real period |
R |
3.2727725314428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44890j1 |
Quadratic twists by: -67 |