Atkin-Lehner |
2- 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33350k |
Isogeny class |
Conductor |
33350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3382124478464000000 = -1 · 224 · 56 · 232 · 293 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 -3 -5 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1198613,-513278469] |
[a1,a2,a3,a4,a6] |
j |
-12188230526616079753/216455966621696 |
j-invariant |
L |
3.4592615168087 |
L(r)(E,1)/r! |
Ω |
0.072067948266619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1334c2 |
Quadratic twists by: 5 |