Atkin-Lehner |
2- 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016bf |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-1536768 = -1 · 28 · 32 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -4 -5 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69,207] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:21:1] [3:-6:1] |
Generators of the group modulo torsion |
j |
-143982592/6003 |
j-invariant |
L |
8.3502255035331 |
L(r)(E,1)/r! |
Ω |
2.6571071544655 |
Real period |
R |
0.7856500526804 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8004a1 128064cv1 96048bc1 |
Quadratic twists by: -4 8 -3 |