Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150bn |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
146410360012800 = 223 · 35 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 5 13- 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38278,2807171] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1663:1] |
Generators of the group modulo torsion |
j |
248103063516113545/5856414400512 |
j-invariant |
L |
8.2804881554195 |
L(r)(E,1)/r! |
Ω |
0.578621445827 |
Real period |
R |
0.31110255828326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450bg1 33150x1 |
Quadratic twists by: -3 5 |