Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704b |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-801792 = -1 · 210 · 33 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 3 -1 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60,184] |
[a1,a2,a3,a4,a6] |
Generators |
[5:3:1] |
Generators of the group modulo torsion |
j |
-864000/29 |
j-invariant |
L |
5.2094534185676 |
L(r)(E,1)/r! |
Ω |
2.8137005681382 |
Real period |
R |
0.92572988710285 |
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 |
16704bl1 2088i1 16704i1 |
Quadratic twists by: -4 8 -3 |