Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126fi |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
896 |
Product of Tamagawa factors cp |
deg |
8257536 |
Modular degree for the optimal curve |
Δ |
-8.0890373541929E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,819589,4317556331] |
[a1,a2,a3,a4,a6] |
Generators |
[-1419:17908:1] |
Generators of the group modulo torsion |
j |
709899390552743/94315065901056 |
j-invariant |
L |
8.9752538398182 |
L(r)(E,1)/r! |
Ω |
0.10091174511924 |
Real period |
R |
1.5882431717096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916286 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42042bp1 18018bk1 |
Quadratic twists by: -3 -7 |