Atkin-Lehner |
2+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16606h |
Isogeny class |
Conductor |
16606 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
2.2808074541414E+19 |
Discriminant |
Eigenvalues |
2+ -1 3 2 -3 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2862376,1848557888] |
[a1,a2,a3,a4,a6] |
Generators |
[7166:13023:8] |
Generators of the group modulo torsion |
j |
55129288688387857/484804919296 |
j-invariant |
L |
3.6414743816624 |
L(r)(E,1)/r! |
Ω |
0.21504522233056 |
Real period |
R |
2.8222547349172 |
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 |
874f1 |
Quadratic twists by: -19 |