Atkin-Lehner |
3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66759h |
Isogeny class |
Conductor |
66759 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
3.6451050471539E+25 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-104748634,-293085205981] |
[a1,a2,a3,a4,a6] |
Generators |
[-29762:1714201:8] |
Generators of the group modulo torsion |
j |
5265932508006615127873/1510137598013239041 |
j-invariant |
L |
3.265043433679 |
L(r)(E,1)/r! |
Ω |
0.048222659755666 |
Real period |
R |
6.7707659652147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3927d3 |
Quadratic twists by: 17 |