Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099cd |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8.111873750756E+19 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1095194,82959220] |
[a1,a2,a3,a4,a6] |
Generators |
[-745:22394:1] |
Generators of the group modulo torsion |
j |
112489728522417/62811265517 |
j-invariant |
L |
5.3646383276768 |
L(r)(E,1)/r! |
Ω |
0.16656811603105 |
Real period |
R |
2.0129296273739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11011p3 9009c3 |
Quadratic twists by: -3 -11 |