Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360bf |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1.2807490661676E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,502764,104185260] |
[a1,a2,a3,a4,a6] |
j |
462951088/421875 |
j-invariant |
L |
0.88003744054406 |
L(r)(E,1)/r! |
Ω |
0.14667290903656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34680d2 69360u2 |
Quadratic twists by: -4 17 |