Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117117bq |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.0758830074964E+19 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1048761,316003702] |
[a1,a2,a3,a4,a6] |
j |
36254831403673/8741423691 |
j-invariant |
L |
3.1367567244024 |
L(r)(E,1)/r! |
Ω |
0.19604734699591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39039l3 9009d4 |
Quadratic twists by: -3 13 |