Atkin-Lehner |
2+ 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123662l |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
28968565472 = 25 · 7 · 116 · 73 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10552493,-13191491131] |
[a1,a2,a3,a4,a6] |
Generators |
[-3175253373729795:1587695662893683:1693243664559] |
Generators of the group modulo torsion |
j |
73355527176398544897/16352 |
j-invariant |
L |
3.3142956290513 |
L(r)(E,1)/r! |
Ω |
0.08376465122963 |
Real period |
R |
19.783378905744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999525509 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1022b4 |
Quadratic twists by: -11 |