Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
5628d |
Isogeny class |
Conductor |
5628 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-10558128 = -1 · 24 · 3 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27,156] |
[a1,a2,a3,a4,a6] |
Generators |
[5:21:1] |
Generators of the group modulo torsion |
j |
131072000/659883 |
j-invariant |
L |
4.7234337171118 |
L(r)(E,1)/r! |
Ω |
1.6412492906804 |
Real period |
R |
0.95931673186055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22512h1 90048g1 16884i1 39396d1 |
Quadratic twists by: -4 8 -3 -7 |