Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472dh |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5.6199625646477E+20 |
Discriminant |
Eigenvalues |
2- 2 -4 7- 6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12947585,-17891479519] |
[a1,a2,a3,a4,a6] |
Generators |
[-2602450897:5784291072:1225043] |
Generators of the group modulo torsion |
j |
37936442980801/88817792 |
j-invariant |
L |
9.2088409142799 |
L(r)(E,1)/r! |
Ω |
0.079600071289355 |
Real period |
R |
7.2305532670089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472n2 32368bf2 7616h2 |
Quadratic twists by: -4 8 17 |