Atkin-Lehner |
2- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32240k |
Isogeny class |
Conductor |
32240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-4358848000000 = -1 · 212 · 56 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 -3 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19221,1037021] |
[a1,a2,a3,a4,a6] |
Generators |
[298:4875:8] |
Generators of the group modulo torsion |
j |
-191740693970944/1064171875 |
j-invariant |
L |
8.3197010262366 |
L(r)(E,1)/r! |
Ω |
0.78095102126103 |
Real period |
R |
1.7755490420732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2015b2 128960bh2 |
Quadratic twists by: -4 8 |