Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192cf |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
Δ |
1.9501768655334E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-944344,-282485764] |
[a1,a2,a3,a4,a6] |
Generators |
[1775:60306:1] |
Generators of the group modulo torsion |
j |
1546167879660104/323754489243 |
j-invariant |
L |
8.5627155415053 |
L(r)(E,1)/r! |
Ω |
0.15541282418385 |
Real period |
R |
2.6236468060726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999834856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192f2 2208h2 |
Quadratic twists by: -4 -7 |