Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
84960k |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
619358400000000 = 212 · 38 · 58 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32988,-1970912] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:176:1] |
Generators of the group modulo torsion |
j |
1329548527936/207421875 |
j-invariant |
L |
3.0169222283356 |
L(r)(E,1)/r! |
Ω |
0.35797270011931 |
Real period |
R |
4.2138998627446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84960be3 28320y3 |
Quadratic twists by: -4 -3 |