Atkin-Lehner |
3- 5- 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128325w |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
635840349609375 = 38 · 59 · 292 · 59 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -4 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-45451,3522923] |
[a1,a2,a3,a4,a6] |
Generators |
[211:1721:1] |
Generators of the group modulo torsion |
j |
5316309618677/325550259 |
j-invariant |
L |
8.1888311606341 |
L(r)(E,1)/r! |
Ω |
0.50428184070664 |
Real period |
R |
2.0298250144913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128325j2 |
Quadratic twists by: 5 |