Atkin-Lehner |
5+ 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13195f |
Isogeny class |
Conductor |
13195 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3984 |
Modular degree for the optimal curve |
Δ |
-13195 = -1 · 5 · 7 · 13 · 29 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- 3 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-563,-5142] |
[a1,a2,a3,a4,a6] |
Generators |
[39:179:1] |
Generators of the group modulo torsion |
j |
-19735534669824/13195 |
j-invariant |
L |
1.9428610683443 |
L(r)(E,1)/r! |
Ω |
0.49005231245289 |
Real period |
R |
3.9645993274057 |
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 |
118755r1 65975i1 92365q1 |
Quadratic twists by: -3 5 -7 |