Atkin-Lehner |
2- 3+ 7+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558r |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
1.3095508884627E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-228312578,1327734932879] |
[a1,a2,a3,a4,a6] |
j |
1316173753399377135799448718625/1309550888462708287872 |
j-invariant |
L |
3.5876426066461 |
L(r)(E,1)/r! |
Ω |
0.12813009309477 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674l2 |
Quadratic twists by: -3 |