Atkin-Lehner |
2- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45632u |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
266531766272 = 219 · 232 · 312 |
Discriminant |
Eigenvalues |
2- 2 0 -4 4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,5889] |
[a1,a2,a3,a4,a6] |
Generators |
[-672:4715:27] |
Generators of the group modulo torsion |
j |
1838265625/1016738 |
j-invariant |
L |
7.8366257752605 |
L(r)(E,1)/r! |
Ω |
0.85075854618838 |
Real period |
R |
4.6056697345969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45632e2 11408i2 |
Quadratic twists by: -4 8 |