Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448bl |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-469860895296 = -1 · 26 · 32 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 6 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1296,-27234] |
[a1,a2,a3,a4,a6] |
j |
778688/1521 |
j-invariant |
L |
3.9056911118655 |
L(r)(E,1)/r! |
Ω |
0.48821138898262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32448g1 16224o2 97344bv1 2496n1 |
Quadratic twists by: -4 8 -3 13 |