Atkin-Lehner |
3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9009c |
Isogeny class |
Conductor |
9009 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
-12626500887 = -1 · 36 · 7 · 114 · 132 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-141,5480] |
[a1,a2,a3,a4,a6] |
j |
-426957777/17320303 |
j-invariant |
L |
2.1020728067255 |
L(r)(E,1)/r! |
Ω |
1.0510364033628 |
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 |
1001b1 63063o1 99099cd1 117117bt1 |
Quadratic twists by: -3 -7 -11 13 |