Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448co |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-469860895296 = -1 · 26 · 32 · 138 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 -2 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-732,-33606] |
[a1,a2,a3,a4,a6] |
j |
-832/9 |
j-invariant |
L |
0.79508563434259 |
L(r)(E,1)/r! |
Ω |
0.39754281717186 |
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 |
32448df1 16224k1 97344fs1 32448cm1 |
Quadratic twists by: -4 8 -3 13 |