Atkin-Lehner |
3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117117o |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.4470085113304E+22 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 11+ 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-95823792,-360939938423] |
[a1,a2,a3,a4,a6] |
j |
27653883672870015625/6954210586323 |
j-invariant |
L |
0.38603635291221 |
L(r)(E,1)/r! |
Ω |
0.04825449445726 |
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 |
39039i2 9009k2 |
Quadratic twists by: -3 13 |