Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
16704dc |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-168337833984 = -1 · 215 · 311 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -6 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,852,17264] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:81:1] [-10:88:1] |
Generators of the group modulo torsion |
j |
2863288/7047 |
j-invariant |
L |
6.3835266665989 |
L(r)(E,1)/r! |
Ω |
0.71127082988516 |
Real period |
R |
0.5609261618769 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16704da1 8352f1 5568r1 |
Quadratic twists by: -4 8 -3 |