Atkin-Lehner |
3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099bk |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
684288 |
Modular degree for the optimal curve |
Δ |
-1720662810605739 = -1 · 36 · 7 · 1110 · 13 |
Discriminant |
Eigenvalues |
-2 3- -1 7+ 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-43923,-4066538] |
[a1,a2,a3,a4,a6] |
j |
-495616/91 |
j-invariant |
L |
0.32652559361233 |
L(r)(E,1)/r! |
Ω |
0.1632628865031 |
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 |
11011h1 99099bw1 |
Quadratic twists by: -3 -11 |