Atkin-Lehner |
2- 5- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
81650x |
Isogeny class |
Conductor |
81650 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
110656 |
Modular degree for the optimal curve |
Δ |
107020288000 = 219 · 53 · 23 · 71 |
Discriminant |
Eigenvalues |
2- 1 5- -2 -2 2 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7718,-261148] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:42:1] |
Generators of the group modulo torsion |
j |
406753724882357/856162304 |
j-invariant |
L |
11.495826570878 |
L(r)(E,1)/r! |
Ω |
0.50942234324529 |
Real period |
R |
0.59385253857719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81650h1 |
Quadratic twists by: 5 |