Atkin-Lehner |
2- 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016m |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-70396238644641792 = -1 · 220 · 38 · 233 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -2 -6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-196392,-35783568] |
[a1,a2,a3,a4,a6] |
j |
-204520739414888233/17186581700352 |
j-invariant |
L |
0.45140531362568 |
L(r)(E,1)/r! |
Ω |
0.11285132840644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4002f1 128064dc1 96048br1 |
Quadratic twists by: -4 8 -3 |