Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485br |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.3786659713216E+21 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-787194,1806747025] |
[a1,a2,a3,a4,a6] |
Generators |
[4038:311701:8] |
Generators of the group modulo torsion |
j |
-629004249876241/16074715228425 |
j-invariant |
L |
8.2905971087567 |
L(r)(E,1)/r! |
Ω |
0.12733214028782 |
Real period |
R |
8.1387514279749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495b4 5355f4 |
Quadratic twists by: -3 -7 |