Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88800p |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8995972800000000 = 212 · 3 · 58 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55633,-2183137] |
[a1,a2,a3,a4,a6] |
j |
297542483776/140562075 |
j-invariant |
L |
5.859936333948 |
L(r)(E,1)/r! |
Ω |
0.3255520224976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88800bf3 17760v3 |
Quadratic twists by: -4 5 |