Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280cv |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
107968403865600 = 218 · 312 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93612,-11012816] |
[a1,a2,a3,a4,a6] |
j |
474734543401/564975 |
j-invariant |
L |
2.1836735124228 |
L(r)(E,1)/r! |
Ω |
0.27295918196677 |
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 |
89280fe2 1395b2 29760bb2 |
Quadratic twists by: -4 8 -3 |