Atkin-Lehner |
3+ 7+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16779a |
Isogeny class |
Conductor |
16779 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
270494259 = 3 · 74 · 17 · 472 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ -2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-224,926] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:50:1] |
Generators of the group modulo torsion |
j |
1243337227777/270494259 |
j-invariant |
L |
1.7197237171984 |
L(r)(E,1)/r! |
Ω |
1.6438991889316 |
Real period |
R |
1.0461248042321 |
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 |
50337l2 117453z2 |
Quadratic twists by: -3 -7 |