Atkin-Lehner |
3- 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128271q |
Isogeny class |
Conductor |
128271 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
2.0640602280663E+19 |
Discriminant |
Eigenvalues |
-1 3- 0 -4 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12812823,17650450206] |
[a1,a2,a3,a4,a6] |
Generators |
[2445:-31896:1] |
Generators of the group modulo torsion |
j |
48194566758167973625/4276241773947 |
j-invariant |
L |
3.9654953095254 |
L(r)(E,1)/r! |
Ω |
0.20622108442358 |
Real period |
R |
0.53414832997633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999669599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9867i2 |
Quadratic twists by: 13 |