Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9048g |
Isogeny class |
Conductor |
9048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
266065488 = 24 · 32 · 133 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 4 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-703,6902] |
[a1,a2,a3,a4,a6] |
j |
2404846336000/16629093 |
j-invariant |
L |
3.5061883828642 |
L(r)(E,1)/r! |
Ω |
1.7530941914321 |
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 |
18096a1 72384s1 27144k1 117624bq1 |
Quadratic twists by: -4 8 -3 13 |