Atkin-Lehner |
2+ 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10998d |
Isogeny class |
Conductor |
10998 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-53339536364868 = -1 · 22 · 317 · 133 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 3 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7407,-253391] |
[a1,a2,a3,a4,a6] |
j |
61643918316527/73168088292 |
j-invariant |
L |
1.3546111545046 |
L(r)(E,1)/r! |
Ω |
0.33865278862616 |
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 |
87984bh1 3666k1 |
Quadratic twists by: -4 -3 |