Atkin-Lehner |
2- 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710bu |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-4.1491126190539E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3420365,-9491530135] |
[a1,a2,a3,a4,a6] |
Generators |
[25773:-4160072:1] |
Generators of the group modulo torsion |
j |
1876752050077549/17596287801000 |
j-invariant |
L |
8.8324112921531 |
L(r)(E,1)/r! |
Ω |
0.056586934793655 |
Real period |
R |
8.671427742362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61710l2 |
Quadratic twists by: -11 |