Atkin-Lehner |
2+ 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
27880c |
Isogeny class |
Conductor |
27880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
1895840000 = 28 · 54 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 2 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3916,-95616] |
[a1,a2,a3,a4,a6] |
j |
25949123563984/7405625 |
j-invariant |
L |
1.2070272531202 |
L(r)(E,1)/r! |
Ω |
0.60351362656037 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55760c1 |
Quadratic twists by: -4 |