Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880bw |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6748697088000 = 212 · 38 · 53 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21429360,38189428992] |
[a1,a2,a3,a4,a6] |
Generators |
[2674:90:1] |
Generators of the group modulo torsion |
j |
265699897443244773235441/1647631125 |
j-invariant |
L |
6.6927644327929 |
L(r)(E,1)/r! |
Ω |
0.36534376301379 |
Real period |
R |
1.5265906411402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4305i3 |
Quadratic twists by: -4 |