Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5390bh |
Isogeny class |
Conductor |
5390 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
1207360 = 26 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27,11] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
6128487/3520 |
j-invariant |
L |
5.8543460548194 |
L(r)(E,1)/r! |
Ω |
2.3348759686978 |
Real period |
R |
0.83578259021105 |
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 |
43120cj1 48510q1 26950u1 5390z1 |
Quadratic twists by: -4 -3 5 -7 |