Atkin-Lehner |
2- 3+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
11952h |
Isogeny class |
Conductor |
11952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
761868288 = 212 · 33 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-339,2002] |
[a1,a2,a3,a4,a6] |
j |
38958219/6889 |
j-invariant |
L |
3.0435561678867 |
L(r)(E,1)/r! |
Ω |
1.5217780839434 |
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 |
747b2 47808bi2 11952j2 |
Quadratic twists by: -4 8 -3 |