Atkin-Lehner |
3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99099q |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-973212808867299 = -1 · 36 · 73 · 116 · 133 |
Discriminant |
Eigenvalues |
0 3- 3 7+ 11- 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,13794,1365273] |
[a1,a2,a3,a4,a6] |
Generators |
[-3388:44617:64] |
Generators of the group modulo torsion |
j |
224755712/753571 |
j-invariant |
L |
6.2010301937457 |
L(r)(E,1)/r! |
Ω |
0.35044684327849 |
Real period |
R |
4.4236596224975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011c2 819e2 |
Quadratic twists by: -3 -11 |