Atkin-Lehner |
3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573k |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-69740838822501 = -1 · 33 · 79 · 112 · 232 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,64,401776] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:637:1] |
Generators of the group modulo torsion |
j |
27/64009 |
j-invariant |
L |
3.9110760612883 |
L(r)(E,1)/r! |
Ω |
0.48910181856705 |
Real period |
R |
1.9991114129618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998744523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111573f2 111573j2 |
Quadratic twists by: -3 -7 |