Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506bn |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
243 |
Product of Tamagawa factors cp |
deg |
163296 |
Modular degree for the optimal curve |
Δ |
1644773429477376 = 227 · 33 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 11- -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-81859,-8807743] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:545:1] |
Generators of the group modulo torsion |
j |
4143359416745857/112340238336 |
j-invariant |
L |
10.318572877415 |
L(r)(E,1)/r! |
Ω |
0.28271696934606 |
Real period |
R |
1.3517737075145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
67518z1 22506s1 |
Quadratic twists by: -3 -11 |