Atkin-Lehner |
2- 3+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17112i |
Isogeny class |
Conductor |
17112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1761812093952 = -1 · 210 · 34 · 23 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2392,-77348] |
[a1,a2,a3,a4,a6] |
Generators |
[281666:3959280:1331] |
Generators of the group modulo torsion |
j |
-1478729816932/1720519623 |
j-invariant |
L |
5.3247161089618 |
L(r)(E,1)/r! |
Ω |
0.3266490395882 |
Real period |
R |
8.1505154824189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34224k3 51336c3 |
Quadratic twists by: -4 -3 |