Atkin-Lehner |
2- |
Signs for the Atkin-Lehner involutions |
Class |
32a |
Isogeny class |
Conductor |
32 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1 |
Modular degree for the optimal curve |
Δ |
-4096 = -1 · 212 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
0.65551438857303 |
L(r)(E,1)/r! |
Ω |
2.6220575542921 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32a1 64a4 288d4 800a4 |
Quadratic twists by: -4 8 -3 5 |