Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40050bd |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-71467333889062500 = -1 · 22 · 36 · 58 · 894 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,82870,8985997] |
[a1,a2,a3,a4,a6] |
Generators |
[209:5845:1] |
Generators of the group modulo torsion |
j |
5525519137839/6274224100 |
j-invariant |
L |
7.7210243585186 |
L(r)(E,1)/r! |
Ω |
0.23039510773173 |
Real period |
R |
4.1890127542909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4450c4 8010a4 |
Quadratic twists by: -3 5 |