Atkin-Lehner |
2- 3- 7+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
33726r |
Isogeny class |
Conductor |
33726 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
165620530944792 = 23 · 33 · 72 · 118 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4121009,-3220325487] |
[a1,a2,a3,a4,a6] |
Generators |
[-1172:589:1] |
Generators of the group modulo torsion |
j |
7739883213527690889518737/165620530944792 |
j-invariant |
L |
8.4492067809419 |
L(r)(E,1)/r! |
Ω |
0.10596163818362 |
Real period |
R |
2.2149543210422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101178o4 |
Quadratic twists by: -3 |