Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760m |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-285696000000 = -1 · 216 · 32 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -6 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-961,-27839] |
[a1,a2,a3,a4,a6] |
j |
-1499221444/4359375 |
j-invariant |
L |
1.5872212647466 |
L(r)(E,1)/r! |
Ω |
0.3968053161875 |
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 |
29760ci1 3720e1 89280cz1 |
Quadratic twists by: -4 8 -3 |