Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33440f |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
81326080 = 212 · 5 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-268,-1632] |
[a1,a2,a3,a4,a6] |
j |
519718464/19855 |
j-invariant |
L |
2.3654639362375 |
L(r)(E,1)/r! |
Ω |
1.1827319681216 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33440v2 66880bc1 |
Quadratic twists by: -4 8 |