Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560cs |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2143296000000 = 212 · 32 · 56 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20345,-1107975] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:35:1] |
Generators of the group modulo torsion |
j |
227383105214656/523265625 |
j-invariant |
L |
5.5299744643224 |
L(r)(E,1)/r! |
Ω |
0.39980056640256 |
Real period |
R |
2.3053054152614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996528 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58560dt2 29280n1 |
Quadratic twists by: -4 8 |