Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27636r |
Isogeny class |
Conductor |
27636 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
343979322624 = 28 · 35 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 3 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10845,430191] |
[a1,a2,a3,a4,a6] |
j |
4684079104/11421 |
j-invariant |
L |
4.811562026017 |
L(r)(E,1)/r! |
Ω |
0.96231240520352 |
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 |
110544ck1 82908ba1 564a1 |
Quadratic twists by: -4 -3 -7 |