Atkin-Lehner |
5- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13195i |
Isogeny class |
Conductor |
13195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
131250665 = 5 · 74 · 13 · 292 |
Discriminant |
Eigenvalues |
1 -2 5- 7- 2 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1123,-14559] |
[a1,a2,a3,a4,a6] |
j |
156425280396841/131250665 |
j-invariant |
L |
1.6496918296189 |
L(r)(E,1)/r! |
Ω |
0.82484591480947 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118755g1 65975b1 92365b1 |
Quadratic twists by: -3 5 -7 |