Atkin-Lehner |
2- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
5330c |
Isogeny class |
Conductor |
5330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-191021443600 = -1 · 24 · 52 · 132 · 414 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2191,43813] |
[a1,a2,a3,a4,a6] |
Generators |
[37:104:1] |
Generators of the group modulo torsion |
j |
-1163223676541809/191021443600 |
j-invariant |
L |
7.0279005981042 |
L(r)(E,1)/r! |
Ω |
0.97140461340212 |
Real period |
R |
0.45217387412147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42640h2 47970n2 26650i2 69290h2 |
Quadratic twists by: -4 -3 5 13 |