Atkin-Lehner |
5+ 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65975a |
Isogeny class |
Conductor |
65975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-345155557373046875 = -1 · 512 · 73 · 132 · 293 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 0 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,149967,-17350407] |
[a1,a2,a3,a4,a6] |
Generators |
[183:4023:1] |
Generators of the group modulo torsion |
j |
23871950290681856/22089955671875 |
j-invariant |
L |
3.2547880529726 |
L(r)(E,1)/r! |
Ω |
0.16614380595659 |
Real period |
R |
4.8975464876425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13195g2 |
Quadratic twists by: 5 |