Atkin-Lehner |
5+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
112385i |
Isogeny class |
Conductor |
112385 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2134535610025 = 52 · 72 · 136 · 192 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3243,-9694] |
[a1,a2,a3,a4,a6] |
j |
781229961/442225 |
j-invariant |
L |
1.364697163365 |
L(r)(E,1)/r! |
Ω |
0.68234867216046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
665b2 |
Quadratic twists by: 13 |