Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560b |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-204165233049600 = -1 · 216 · 32 · 52 · 614 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14239,-216735] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1680:1] |
Generators of the group modulo torsion |
j |
4871377107356/3115314225 |
j-invariant |
L |
5.6267238533515 |
L(r)(E,1)/r! |
Ω |
0.32310451535886 |
Real period |
R |
2.1768203421307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560dk3 7320g4 |
Quadratic twists by: -4 8 |