Atkin-Lehner |
2- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33440r |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
334400 = 26 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11+ -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66,184] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:20:1] [-4:20:1] |
Generators of the group modulo torsion |
j |
504358336/5225 |
j-invariant |
L |
4.9792109468844 |
L(r)(E,1)/r! |
Ω |
3.0557329239977 |
Real period |
R |
1.6294653592864 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33440i1 66880bw1 |
Quadratic twists by: -4 8 |