Atkin-Lehner |
2+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16762b |
Isogeny class |
Conductor |
16762 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
1413508399075328 = 212 · 177 · 292 |
Discriminant |
Eigenvalues |
2+ -2 2 2 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-79915,8498454] |
[a1,a2,a3,a4,a6] |
Generators |
[976:28845:1] |
Generators of the group modulo torsion |
j |
2338337977417/58560512 |
j-invariant |
L |
3.1940978104896 |
L(r)(E,1)/r! |
Ω |
0.47868076060323 |
Real period |
R |
1.6681774542518 |
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 |
986c1 |
Quadratic twists by: 17 |