Atkin-Lehner |
3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99099bl |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-5562724167 = -1 · 38 · 72 · 113 · 13 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11+ 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-666,7695] |
[a1,a2,a3,a4,a6] |
Generators |
[18:27:1] |
Generators of the group modulo torsion |
j |
-33698267/5733 |
j-invariant |
L |
10.232285830028 |
L(r)(E,1)/r! |
Ω |
1.303081089075 |
Real period |
R |
1.96309460548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33033x1 99099m1 |
Quadratic twists by: -3 -11 |