Atkin-Lehner |
5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
6565d |
Isogeny class |
Conductor |
6565 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
166689453125 = 510 · 132 · 101 |
Discriminant |
Eigenvalues |
-1 -2 5- 0 -2 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1385,-2900] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:101:1] [45:-185:1] |
Generators of the group modulo torsion |
j |
293827628762641/166689453125 |
j-invariant |
L |
2.789832402548 |
L(r)(E,1)/r! |
Ω |
0.84478295688251 |
Real period |
R |
0.66048501092938 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105040v2 59085d2 32825d2 85345a2 |
Quadratic twists by: -4 -3 5 13 |