Atkin-Lehner |
2+ 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190m |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
-1277449604037018750 = -1 · 2 · 3 · 55 · 138 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -5 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,59823,-54061509] |
[a1,a2,a3,a4,a6] |
j |
29024858759/1566018750 |
j-invariant |
L |
1.3012682219054 |
L(r)(E,1)/r! |
Ω |
0.13012681868138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190br1 |
Quadratic twists by: 13 |