Atkin-Lehner |
2- 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120cw |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-8.2906335461376E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,903000,-287499852] |
[a1,a2,a3,a4,a6] |
Generators |
[366:9600:1] |
Generators of the group modulo torsion |
j |
19880464812965126999/20240804556000000 |
j-invariant |
L |
8.9809749528334 |
L(r)(E,1)/r! |
Ω |
0.10439151827754 |
Real period |
R |
1.1948840792587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002751 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390f2 |
Quadratic twists by: -4 |