Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33640f |
Isogeny class |
Conductor |
33640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
9755600 = 24 · 52 · 293 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 2 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-251,-1610] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:1:1] |
Generators of the group modulo torsion |
j |
4499456/25 |
j-invariant |
L |
3.1638212811283 |
L(r)(E,1)/r! |
Ω |
1.1994504898457 |
Real period |
R |
1.3188628075576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67280d1 33640b1 |
Quadratic twists by: -4 29 |