Atkin-Lehner |
2- 3+ 5- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40890y |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
160511241600 = 27 · 33 · 52 · 292 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18290,944255] |
[a1,a2,a3,a4,a6] |
Generators |
[65:155:1] |
Generators of the group modulo torsion |
j |
676653468930300961/160511241600 |
j-invariant |
L |
8.701239017017 |
L(r)(E,1)/r! |
Ω |
0.9966891785138 |
Real period |
R |
0.62358164013633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670r2 |
Quadratic twists by: -3 |