Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
105120q |
Isogeny class |
Conductor |
105120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9208512000000 = 212 · 33 · 56 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-249708,48028032] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:9000:1] |
Generators of the group modulo torsion |
j |
15570313923102912/83265625 |
j-invariant |
L |
6.6716326202816 |
L(r)(E,1)/r! |
Ω |
0.64740939153416 |
Real period |
R |
2.5762804501929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999978354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105120r2 105120c2 |
Quadratic twists by: -4 -3 |