Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
106128bx |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.0210409516717E+25 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72001659,177945540010] |
[a1,a2,a3,a4,a6] |
Generators |
[288848062:24222832920:24389] |
Generators of the group modulo torsion |
j |
13824955606018417112377/3419445488226729984 |
j-invariant |
L |
8.9212396605525 |
L(r)(E,1)/r! |
Ω |
0.067873204009269 |
Real period |
R |
10.953315824327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999846235 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13266m2 35376x2 |
Quadratic twists by: -4 -3 |