Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850bs |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
9.1482437744141E+21 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-133574230,594214867397] |
[a1,a2,a3,a4,a6] |
Generators |
[185421:645167:27] |
Generators of the group modulo torsion |
j |
143378317900125424089/4976562500000 |
j-invariant |
L |
8.5938992022878 |
L(r)(E,1)/r! |
Ω |
0.12139975776911 |
Real period |
R |
7.0790085253981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370j3 4550s3 |
Quadratic twists by: 5 -7 |