Atkin-Lehner |
2+ 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9918g |
Isogeny class |
Conductor |
9918 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
1258058628 = 22 · 39 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 0 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-270,-32] |
[a1,a2,a3,a4,a6] |
j |
2992209121/1725732 |
j-invariant |
L |
2.567654400627 |
L(r)(E,1)/r! |
Ω |
1.2838272003135 |
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 |
79344bx1 3306g1 |
Quadratic twists by: -4 -3 |