Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
33033bb |
Isogeny class |
Conductor |
33033 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4704 |
Modular degree for the optimal curve |
Δ |
-3996993 = -1 · 3 · 7 · 114 · 13 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11- 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,210] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:17:1] |
Generators of the group modulo torsion |
j |
-1890625/273 |
j-invariant |
L |
4.3420090722058 |
L(r)(E,1)/r! |
Ω |
2.3922579291829 |
Real period |
R |
0.60500848999019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99099ca1 33033t1 |
Quadratic twists by: -3 -11 |