Atkin-Lehner |
2- 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016n |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-797775200256 = -1 · 215 · 3 · 234 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 3 -2 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7112,-232464] |
[a1,a2,a3,a4,a6] |
j |
-9714044119753/194769336 |
j-invariant |
L |
1.0385097264125 |
L(r)(E,1)/r! |
Ω |
0.25962743160311 |
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 |
4002g1 128064dd1 96048bs1 |
Quadratic twists by: -4 8 -3 |