Atkin-Lehner |
2+ 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560d |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13611015536640 = -1 · 216 · 3 · 5 · 614 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3681,-195999] |
[a1,a2,a3,a4,a6] |
Generators |
[200:2651:1] |
Generators of the group modulo torsion |
j |
-84189748324/207687615 |
j-invariant |
L |
3.1353091741828 |
L(r)(E,1)/r! |
Ω |
0.28560298980965 |
Real period |
R |
5.4889291882698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000434 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560di3 7320q4 |
Quadratic twists by: -4 8 |