Atkin-Lehner |
2+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400l |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-65267986576000000 = -1 · 210 · 56 · 132 · 176 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 2 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,49192,11568388] |
[a1,a2,a3,a4,a6] |
j |
822769797308/4079249161 |
j-invariant |
L |
2.0049401140856 |
L(r)(E,1)/r! |
Ω |
0.25061751254348 |
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 |
44200g2 3536d2 |
Quadratic twists by: -4 5 |