Atkin-Lehner |
2- 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
1704d |
Isogeny class |
Conductor |
1704 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-119252736 = -1 · 28 · 38 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84,576] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:30:1] |
Generators of the group modulo torsion |
j |
-259108432/465831 |
j-invariant |
L |
3.0292679218798 |
L(r)(E,1)/r! |
Ω |
1.6656881024149 |
Real period |
R |
0.90931427002692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3408a1 13632a1 5112a1 42600a1 |
Quadratic twists by: -4 8 -3 5 |