Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16704cb |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4788276166656 = -1 · 223 · 39 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 5 -4 6 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,756,104976] |
[a1,a2,a3,a4,a6] |
Generators |
[0:324:1] |
Generators of the group modulo torsion |
j |
9261/928 |
j-invariant |
L |
4.6691683305271 |
L(r)(E,1)/r! |
Ω |
0.59090849630282 |
Real period |
R |
1.9754193583867 |
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 |
16704m1 4176q1 16704bs1 |
Quadratic twists by: -4 8 -3 |