Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560ci |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1811353600 = 212 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-388,2112] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:60:1] |
Generators of the group modulo torsion |
j |
1577098944/442225 |
j-invariant |
L |
4.5376630769885 |
L(r)(E,1)/r! |
Ω |
1.3844488864878 |
Real period |
R |
1.6387976187769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42560cc2 21280m1 |
Quadratic twists by: -4 8 |