Atkin-Lehner |
5- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13195i |
Isogeny class |
Conductor |
13195 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-146424849025 = -1 · 52 · 72 · 132 · 294 |
Discriminant |
Eigenvalues |
1 -2 5- 7- 2 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-878,-21027] |
[a1,a2,a3,a4,a6] |
j |
-74730178537561/146424849025 |
j-invariant |
L |
1.6496918296189 |
L(r)(E,1)/r! |
Ω |
0.41242295740473 |
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 |
118755g2 65975b2 92365b2 |
Quadratic twists by: -3 5 -7 |