Atkin-Lehner |
3+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5655b |
Isogeny class |
Conductor |
5655 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2462404911890625 = -1 · 38 · 56 · 134 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 2 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,22229,-2008846] |
[a1,a2,a3,a4,a6] |
Generators |
[854:24885:1] |
Generators of the group modulo torsion |
j |
1214737024056280271/2462404911890625 |
j-invariant |
L |
2.1337980041497 |
L(r)(E,1)/r! |
Ω |
0.2387149988753 |
Real period |
R |
2.234671066128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480bq2 16965p2 28275h2 73515c2 |
Quadratic twists by: -4 -3 5 13 |