Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040bu |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-38510464262400 = -1 · 28 · 36 · 52 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 6 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-900,299052] |
[a1,a2,a3,a4,a6] |
Generators |
[9:540:1] |
Generators of the group modulo torsion |
j |
-315278049616/150431501025 |
j-invariant |
L |
4.6424859477372 |
L(r)(E,1)/r! |
Ω |
0.52516003839694 |
Real period |
R |
2.2100338983718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13260m2 |
Quadratic twists by: -4 |