Atkin-Lehner |
2- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
128440x |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-417430000 = -1 · 24 · 54 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-143,1183] |
[a1,a2,a3,a4,a6] |
Generators |
[9:25:1] [13:39:1] |
Generators of the group modulo torsion |
j |
-9199872/11875 |
j-invariant |
L |
11.166631568171 |
L(r)(E,1)/r! |
Ω |
1.5166238180279 |
Real period |
R |
0.92035277902876 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128440k1 |
Quadratic twists by: 13 |