Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448cu |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-2505924774912 = -1 · 210 · 3 · 138 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -6 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2253,85827] |
[a1,a2,a3,a4,a6] |
Generators |
[1811:77064:1] |
Generators of the group modulo torsion |
j |
-256000/507 |
j-invariant |
L |
6.1666439545512 |
L(r)(E,1)/r! |
Ω |
0.72454819978214 |
Real period |
R |
4.2555098172939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32448a1 8112a1 97344eh1 2496bc1 |
Quadratic twists by: -4 8 -3 13 |