Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150x |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.3279889514397E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-67484626,206046130148] |
[a1,a2,a3,a4,a6] |
Generators |
[2501333796:301474997923:140608] |
Generators of the group modulo torsion |
j |
46237740924063961/1806561830400 |
j-invariant |
L |
5.202616660476 |
L(r)(E,1)/r! |
Ω |
0.085046487330995 |
Real period |
R |
15.293449570291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999385 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830x4 2850r4 |
Quadratic twists by: 5 -19 |