Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99099bw |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-971269299 = -1 · 36 · 7 · 114 · 13 |
Discriminant |
Eigenvalues |
2 3- -1 7- 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-363,3055] |
[a1,a2,a3,a4,a6] |
j |
-495616/91 |
j-invariant |
L |
3.0078909624541 |
L(r)(E,1)/r! |
Ω |
1.5039455284383 |
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 |
11011m1 99099bk1 |
Quadratic twists by: -3 -11 |