Atkin-Lehner |
2+ 3- 7- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822n |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
43919255268 = 22 · 38 · 74 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-882,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:105:1] |
Generators of the group modulo torsion |
j |
104154702625/60245892 |
j-invariant |
L |
4.1723893014331 |
L(r)(E,1)/r! |
Ω |
0.9594928731717 |
Real period |
R |
0.54356699914744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274br1 |
Quadratic twists by: -3 |