Atkin-Lehner |
3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99099bl |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3443591151 = 37 · 7 · 113 · 132 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11+ 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11061,450522] |
[a1,a2,a3,a4,a6] |
Generators |
[-658:7479:8] |
Generators of the group modulo torsion |
j |
154249367147/3549 |
j-invariant |
L |
10.232285830028 |
L(r)(E,1)/r! |
Ω |
1.303081089075 |
Real period |
R |
3.9261892109599 |
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 |
33033x2 99099m2 |
Quadratic twists by: -3 -11 |