Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9009l |
Isogeny class |
Conductor |
9009 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-133018112954727 = -1 · 318 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,166,554856] |
[a1,a2,a3,a4,a6] |
j |
697864103/182466547263 |
j-invariant |
L |
1.8514797400655 |
L(r)(E,1)/r! |
Ω |
0.46286993501639 |
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 |
3003e4 63063be3 99099bh3 117117p3 |
Quadratic twists by: -3 -7 -11 13 |