Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27104z |
Isogeny class |
Conductor |
27104 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-569378344841152 = -1 · 26 · 73 · 1110 |
Discriminant |
Eigenvalues |
2- -2 4 7- 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4074,1145032] |
[a1,a2,a3,a4,a6] |
j |
65939264/5021863 |
j-invariant |
L |
2.3726812812824 |
L(r)(E,1)/r! |
Ω |
0.39544688021367 |
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 |
27104o1 54208da1 2464d1 |
Quadratic twists by: -4 8 -11 |