Atkin-Lehner |
2- 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890em |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2230272 |
Modular degree for the optimal curve |
Δ |
1070709067968750000 = 24 · 39 · 511 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-277178,26075081] |
[a1,a2,a3,a4,a6] |
j |
1345484890523641/611718750000 |
j-invariant |
L |
3.9612842591572 |
L(r)(E,1)/r! |
Ω |
0.24758028296821 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630bp1 127890gg1 |
Quadratic twists by: -3 -7 |