Atkin-Lehner |
2+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
81344g |
Isogeny class |
Conductor |
81344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13660585984 = 218 · 31 · 412 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 4 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10636,-422160] |
[a1,a2,a3,a4,a6] |
Generators |
[32680:478716:125] |
Generators of the group modulo torsion |
j |
507596683833/52111 |
j-invariant |
L |
6.055437620166 |
L(r)(E,1)/r! |
Ω |
0.47011883128422 |
Real period |
R |
6.4403265928127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81344h2 1271a2 |
Quadratic twists by: -4 8 |