Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760ce |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
61280420659200 = 215 · 34 · 52 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87681,-10015425] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:84:1] |
Generators of the group modulo torsion |
j |
2275072354448648/1870130025 |
j-invariant |
L |
5.7847097474751 |
L(r)(E,1)/r! |
Ω |
0.27745604999026 |
Real period |
R |
2.606137867456 |
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 |
29760bu4 14880j2 89280ez4 |
Quadratic twists by: -4 8 -3 |