Atkin-Lehner |
3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9009f |
Isogeny class |
Conductor |
9009 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-163157917923 = -1 · 39 · 73 · 11 · 133 |
Discriminant |
Eigenvalues |
2 3- -4 7+ 11+ 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,393,19201] |
[a1,a2,a3,a4,a6] |
j |
9208180736/223810587 |
j-invariant |
L |
1.5322380652653 |
L(r)(E,1)/r! |
Ω |
0.76611903263264 |
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 |
3003b1 63063r1 99099ch1 117117bz1 |
Quadratic twists by: -3 -7 -11 13 |