Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520s |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
52888592615040000 = 210 · 310 · 54 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123483,12510682] |
[a1,a2,a3,a4,a6] |
Generators |
[581:-11700:1] |
Generators of the group modulo torsion |
j |
278944461825124/70849130625 |
j-invariant |
L |
4.3304812395694 |
L(r)(E,1)/r! |
Ω |
0.33232455182108 |
Real period |
R |
0.81442997815105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997927 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32760n3 21840s3 |
Quadratic twists by: -4 -3 |