Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280ff |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
60732227174400 = 214 · 314 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10812,216016] |
[a1,a2,a3,a4,a6] |
j |
11702923216/5084775 |
j-invariant |
L |
4.495792357127 |
L(r)(E,1)/r! |
Ω |
0.56197404132803 |
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 |
89280cw2 22320bi2 29760cg2 |
Quadratic twists by: -4 8 -3 |