Atkin-Lehner |
2+ 3+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
16614b |
Isogeny class |
Conductor |
16614 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
17250914304 = 212 · 33 · 133 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9813,376565] |
[a1,a2,a3,a4,a6] |
Generators |
[61:16:1] |
Generators of the group modulo torsion |
j |
3870706473992331/638922752 |
j-invariant |
L |
2.9781227245381 |
L(r)(E,1)/r! |
Ω |
1.192239248884 |
Real period |
R |
2.4979237408313 |
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 |
16614m1 |
Quadratic twists by: -3 |