Atkin-Lehner |
3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099k |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
828467279180541 = 33 · 7 · 1110 · 132 |
Discriminant |
Eigenvalues |
2 3+ -1 7- 11- 13- -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-43923,-3261283] |
[a1,a2,a3,a4,a6] |
j |
13381632/1183 |
j-invariant |
L |
1.3265727704187 |
L(r)(E,1)/r! |
Ω |
0.33164324018541 |
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 |
99099l1 99099f1 |
Quadratic twists by: -3 -11 |