Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33282j |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4507776 |
Modular degree for the optimal curve |
Δ |
-6.2821402231882E+20 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 1 -4 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22107915,-40022756667] |
[a1,a2,a3,a4,a6] |
j |
-140246460241/73728 |
j-invariant |
L |
3.7596089344505 |
L(r)(E,1)/r! |
Ω |
0.034811193837567 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11094q1 33282bg1 |
Quadratic twists by: -3 -43 |