Atkin-Lehner |
2+ 3- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
16530r |
Isogeny class |
Conductor |
16530 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
541655040 = 216 · 3 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-258,1108] |
[a1,a2,a3,a4,a6] |
Generators |
[714:2704:27] |
Generators of the group modulo torsion |
j |
1888690601881/541655040 |
j-invariant |
L |
4.2858974190942 |
L(r)(E,1)/r! |
Ω |
1.5289402530051 |
Real period |
R |
5.6063635065797 |
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 |
49590br1 82650bq1 |
Quadratic twists by: -3 5 |