Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536z |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
32425349677056 = 216 · 312 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80417,-8800065] |
[a1,a2,a3,a4,a6] |
j |
877592260337188/494771571 |
j-invariant |
L |
3.4021862099927 |
L(r)(E,1)/r! |
Ω |
0.28351551749942 |
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 |
25536ck4 3192b3 76608bg4 |
Quadratic twists by: -4 8 -3 |