Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16920m |
Isogeny class |
Conductor |
16920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1278859622400 = 211 · 312 · 52 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17643,900358] |
[a1,a2,a3,a4,a6] |
Generators |
[14:810:1] |
Generators of the group modulo torsion |
j |
406802425682/856575 |
j-invariant |
L |
4.6973599406241 |
L(r)(E,1)/r! |
Ω |
0.86175688830821 |
Real period |
R |
2.7254554064812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33840j2 5640d2 84600q2 |
Quadratic twists by: -4 -3 5 |