Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
16704bg |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-5260557312 = -1 · 210 · 311 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 -5 -5 -1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,420,-1096] |
[a1,a2,a3,a4,a6] |
Generators |
[13:81:1] |
Generators of the group modulo torsion |
j |
10976000/7047 |
j-invariant |
L |
3.4808498027433 |
L(r)(E,1)/r! |
Ω |
0.77877878182743 |
Real period |
R |
2.2348129430127 |
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 |
16704cz1 2088j1 5568a1 |
Quadratic twists by: -4 8 -3 |