Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16704bw |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-18704203776 = -1 · 215 · 39 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 -4 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,13392] |
[a1,a2,a3,a4,a6] |
Generators |
[42:216:1] |
Generators of the group modulo torsion |
j |
-157464/29 |
j-invariant |
L |
5.9282178892083 |
L(r)(E,1)/r! |
Ω |
1.1752920695572 |
Real period |
R |
0.63050475311234 |
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 |
16704bx1 8352a1 16704bn1 |
Quadratic twists by: -4 8 -3 |