Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68952q |
Isogeny class |
Conductor |
68952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.2662943368154E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1272288,2805058476] |
[a1,a2,a3,a4,a6] |
j |
-23040414103250/330419182041 |
j-invariant |
L |
0.9581453380702 |
L(r)(E,1)/r! |
Ω |
0.11976816841421 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5304a2 |
Quadratic twists by: 13 |