Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150bw |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-2652000000 = -1 · 28 · 3 · 56 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,212,2192] |
[a1,a2,a3,a4,a6] |
Generators |
[28:160:1] |
Generators of the group modulo torsion |
j |
67419143/169728 |
j-invariant |
L |
10.648689579281 |
L(r)(E,1)/r! |
Ω |
1.0063036863419 |
Real period |
R |
2.6454960177057 |
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 |
99450v1 1326b1 |
Quadratic twists by: -3 5 |