Atkin-Lehner |
3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9945j |
Isogeny class |
Conductor |
9945 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
8.2830327834759E+22 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 4 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-234995027,-1386423976224] |
[a1,a2,a3,a4,a6] |
j |
1968666709544018637994033129/113621848881699526875 |
j-invariant |
L |
1.8508772964273 |
L(r)(E,1)/r! |
Ω |
0.038559943675569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3315c4 49725h4 129285r4 |
Quadratic twists by: -3 5 13 |