Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32490j |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6.195865251837E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24294465,-44501105219] |
[a1,a2,a3,a4,a6] |
Generators |
[-25106:242503:8] |
Generators of the group modulo torsion |
j |
46237740924063961/1806561830400 |
j-invariant |
L |
3.8881447096304 |
L(r)(E,1)/r! |
Ω |
0.068165869902622 |
Real period |
R |
7.1299330500455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830x4 1710o4 |
Quadratic twists by: -3 -19 |