Atkin-Lehner |
2- 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832bi |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4004882386255872 = 227 · 36 · 11 · 612 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1920193,-1024790209] |
[a1,a2,a3,a4,a6] |
Generators |
[-55104041:-3644928:68921] |
Generators of the group modulo torsion |
j |
2986886106831048625/15277413888 |
j-invariant |
L |
10.342096861949 |
L(r)(E,1)/r! |
Ω |
0.12825179393758 |
Real period |
R |
6.7199169386744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030933 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128832f2 32208l2 |
Quadratic twists by: -4 8 |