Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304in |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
8.3209868054424E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7397889,6378779007] |
[a1,a2,a3,a4,a6] |
Generators |
[-2313:105456:1] |
Generators of the group modulo torsion |
j |
5807363790481348/1079211743883 |
j-invariant |
L |
6.3428522819728 |
L(r)(E,1)/r! |
Ω |
0.12443172061293 |
Real period |
R |
1.0619700148029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999767804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304cc3 30576d3 17472br3 |
Quadratic twists by: -4 8 -7 |