Atkin-Lehner |
3- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
11457a |
Isogeny class |
Conductor |
11457 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
45327134331 = 312 · 19 · 672 |
Discriminant |
Eigenvalues |
1 3- 2 -2 0 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1251,-13298] |
[a1,a2,a3,a4,a6] |
j |
297141543217/62177139 |
j-invariant |
L |
1.6291601623484 |
L(r)(E,1)/r! |
Ω |
0.81458008117422 |
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 |
3819a2 |
Quadratic twists by: -3 |