Atkin-Lehner |
2- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
87100o |
Isogeny class |
Conductor |
87100 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-203315788000000 = -1 · 28 · 56 · 132 · 673 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -2 13- -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38600,2998500] |
[a1,a2,a3,a4,a6] |
Generators |
[-196:1742:1] [5:1675:1] |
Generators of the group modulo torsion |
j |
-1590104383488/50828947 |
j-invariant |
L |
9.3658855762021 |
L(r)(E,1)/r! |
Ω |
0.5613181464077 |
Real period |
R |
0.4634866873667 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3484a1 |
Quadratic twists by: 5 |