Atkin-Lehner |
2- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32032l |
Isogeny class |
Conductor |
32032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-7622078464 = -1 · 212 · 7 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 11- 13+ 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,259,3797] |
[a1,a2,a3,a4,a6] |
j |
467288576/1860859 |
j-invariant |
L |
3.7603696280177 |
L(r)(E,1)/r! |
Ω |
0.94009240700398 |
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 |
32032a1 64064n1 |
Quadratic twists by: -4 8 |