Atkin-Lehner |
5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
74005b |
Isogeny class |
Conductor |
74005 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
27383700125 = 53 · 194 · 412 |
Discriminant |
Eigenvalues |
2 2 5+ -2 5 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-74486,-7799783] |
[a1,a2,a3,a4,a6] |
Generators |
[-5653774830:7868593:35937000] |
Generators of the group modulo torsion |
j |
350702689890304/210125 |
j-invariant |
L |
17.364345687421 |
L(r)(E,1)/r! |
Ω |
0.28898840713449 |
Real period |
R |
10.014441905305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74005j1 |
Quadratic twists by: -19 |