Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928dl |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4.0076133406131E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22604844,-41355438640] |
[a1,a2,a3,a4,a6] |
Generators |
[4875577074726085864323471944867356:-6255166797667219648911869282170574720:2962079166366777009524469317] |
Generators of the group modulo torsion |
j |
6684374974140996553/2097096248576 |
j-invariant |
L |
7.7261971618617 |
L(r)(E,1)/r! |
Ω |
0.069240046815361 |
Real period |
R |
55.792835916885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928ca2 29232bf2 12992bd2 |
Quadratic twists by: -4 8 -3 |