Atkin-Lehner |
2- 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050cn |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
500 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-1549788905548800 = -1 · 210 · 310 · 52 · 75 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,24997,1130577] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:105:1] |
Generators of the group modulo torsion |
j |
69094947027478055/61991556221952 |
j-invariant |
L |
13.33982235651 |
L(r)(E,1)/r! |
Ω |
0.31053847755947 |
Real period |
R |
2.147853377356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
64050n2 |
Quadratic twists by: 5 |