Atkin-Lehner |
5+ 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13195g |
Isogeny class |
Conductor |
13195 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-22089955671875 = -1 · 56 · 73 · 132 · 293 |
Discriminant |
Eigenvalues |
0 1 5+ 7- 0 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5999,-136404] |
[a1,a2,a3,a4,a6] |
Generators |
[42:437:1] |
Generators of the group modulo torsion |
j |
23871950290681856/22089955671875 |
j-invariant |
L |
4.0279354132745 |
L(r)(E,1)/r! |
Ω |
0.37150884415946 |
Real period |
R |
0.90350819291792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118755v2 65975a2 92365e2 |
Quadratic twists by: -3 5 -7 |