Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
28320j |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
849600000000 = 212 · 32 · 58 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3665,-71775] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:60:1] |
Generators of the group modulo torsion |
j |
1329548527936/207421875 |
j-invariant |
L |
5.7771296562487 |
L(r)(E,1)/r! |
Ω |
0.62002690432926 |
Real period |
R |
1.1646933415128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28320y3 56640x1 84960be3 |
Quadratic twists by: -4 8 -3 |