Atkin-Lehner |
2- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3344d |
Isogeny class |
Conductor |
3344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-357834752 = -1 · 213 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 0 2 -2 11+ -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,101,-822] |
[a1,a2,a3,a4,a6] |
j |
27818127/87362 |
j-invariant |
L |
1.7400229634507 |
L(r)(E,1)/r! |
Ω |
0.87001148172535 |
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 |
418a2 13376s2 30096bg2 83600bc2 |
Quadratic twists by: -4 8 -3 5 |