Atkin-Lehner |
2- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
86848u |
Isogeny class |
Conductor |
86848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-43369806848 = -1 · 210 · 233 · 592 |
Discriminant |
Eigenvalues |
2- -1 -2 2 4 -5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,671,-7687] |
[a1,a2,a3,a4,a6] |
Generators |
[16:83:1] |
Generators of the group modulo torsion |
j |
32579462912/42353327 |
j-invariant |
L |
4.3452996915903 |
L(r)(E,1)/r! |
Ω |
0.60903834125708 |
Real period |
R |
3.5673449441229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86848h1 21712a1 |
Quadratic twists by: -4 8 |