Atkin-Lehner |
3+ 7+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16779a |
Isogeny class |
Conductor |
16779 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2176 |
Modular degree for the optimal curve |
Δ |
-5990103 = -1 · 32 · 72 · 172 · 47 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ -2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,31,110] |
[a1,a2,a3,a4,a6] |
Generators |
[0:10:1] |
Generators of the group modulo torsion |
j |
3288008303/5990103 |
j-invariant |
L |
1.7197237171984 |
L(r)(E,1)/r! |
Ω |
1.6438991889316 |
Real period |
R |
0.52306240211604 |
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 |
50337l1 117453z1 |
Quadratic twists by: -3 -7 |