Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33440p |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
204650726720 = 26 · 5 · 116 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 11- -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2850,-53428] |
[a1,a2,a3,a4,a6] |
Generators |
[62:66:1] |
Generators of the group modulo torsion |
j |
40015725321664/3197667605 |
j-invariant |
L |
8.577540080572 |
L(r)(E,1)/r! |
Ω |
0.6567076217585 |
Real period |
R |
2.1769048600359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33440n1 66880cg2 |
Quadratic twists by: -4 8 |