Atkin-Lehner |
2- 3- 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158bl |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
93523444245504 = 210 · 38 · 72 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51251,4454291] |
[a1,a2,a3,a4,a6] |
Generators |
[207:-1742:1] |
Generators of the group modulo torsion |
j |
20421858870283753/128290046976 |
j-invariant |
L |
8.2135294667986 |
L(r)(E,1)/r! |
Ω |
0.60487664035927 |
Real period |
R |
0.67894252468245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000316 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22386i2 |
Quadratic twists by: -3 |