Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
40200y |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5697047520000000 = 211 · 312 · 57 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-363408,84364812] |
[a1,a2,a3,a4,a6] |
Generators |
[15978:684531:8] |
Generators of the group modulo torsion |
j |
165866385031058/178032735 |
j-invariant |
L |
2.4046331979421 |
L(r)(E,1)/r! |
Ω |
0.42536306787292 |
Real period |
R |
5.6531311238749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80400z4 120600v4 8040e3 |
Quadratic twists by: -4 -3 5 |