Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
32016bi |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-5974953984 = -1 · 212 · 37 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 0 -3 3 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,176,3668] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:54:1] |
Generators of the group modulo torsion |
j |
146363183/1458729 |
j-invariant |
L |
8.3585114563931 |
L(r)(E,1)/r! |
Ω |
0.98856819809388 |
Real period |
R |
0.6039406626176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2001a1 128064cr1 96048x1 |
Quadratic twists by: -4 8 -3 |