Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560cs |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1464000000000000 = -1 · 215 · 3 · 512 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13025,-1923423] |
[a1,a2,a3,a4,a6] |
Generators |
[1384:51275:1] |
Generators of the group modulo torsion |
j |
-7458308028872/44677734375 |
j-invariant |
L |
5.5299744643224 |
L(r)(E,1)/r! |
Ω |
0.19990028320128 |
Real period |
R |
4.6106108305229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560dt3 29280n2 |
Quadratic twists by: -4 8 |