Atkin-Lehner |
2+ 3+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
5478b |
Isogeny class |
Conductor |
5478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3136 |
Modular degree for the optimal curve |
Δ |
134627328 = 214 · 32 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-128,0] |
[a1,a2,a3,a4,a6] |
j |
234770924809/134627328 |
j-invariant |
L |
1.5781464372538 |
L(r)(E,1)/r! |
Ω |
1.5781464372538 |
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 |
43824bf1 16434o1 60258w1 |
Quadratic twists by: -4 -3 -11 |