Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448ca |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1078141648896 = -1 · 222 · 32 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 2 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,50049] |
[a1,a2,a3,a4,a6] |
j |
-169/144 |
j-invariant |
L |
2.8197825091294 |
L(r)(E,1)/r! |
Ω |
0.70494562728101 |
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 |
32448y1 8112bc1 97344ex1 32448cd1 |
Quadratic twists by: -4 8 -3 13 |