Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448x |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-1.0227848972575E+21 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 2 13+ -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-811425,-1564465473] |
[a1,a2,a3,a4,a6] |
j |
-276301129/4782969 |
j-invariant |
L |
3.7526774913777 |
L(r)(E,1)/r! |
Ω |
0.067012098060329 |
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 |
32448cb2 507a2 97344bj2 32448ba2 |
Quadratic twists by: -4 8 -3 13 |