Atkin-Lehner |
3- 7+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86583r |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2469600 |
Modular degree for the optimal curve |
Δ |
-8.136423435927E+19 |
Discriminant |
Eigenvalues |
1 3- -2 7+ -3 -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,574303,-400303249] |
[a1,a2,a3,a4,a6] |
j |
3633822702183863/14113971038943 |
j-invariant |
L |
0.8789589039216 |
L(r)(E,1)/r! |
Ω |
0.097662100589696 |
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 |
86583n1 |
Quadratic twists by: -7 |