Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14448w |
Isogeny class |
Conductor |
14448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
5799542784 = 217 · 3 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-600,4116] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:96:1] |
Generators of the group modulo torsion |
j |
5841725401/1415904 |
j-invariant |
L |
6.0360516486096 |
L(r)(E,1)/r! |
Ω |
1.2665591372813 |
Real period |
R |
1.1914271254571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1806b1 57792cf1 43344y1 101136bb1 |
Quadratic twists by: -4 8 -3 -7 |