Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16704bx |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
4 |
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 |
[93:837:1] |
Generators of the group modulo torsion |
j |
-157464/29 |
j-invariant |
L |
5.1914033759775 |
L(r)(E,1)/r! |
Ω |
0.42328416888262 |
Real period |
R |
3.0661454866608 |
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 |
16704bw1 8352b1 16704bo1 |
Quadratic twists by: -4 8 -3 |