Atkin-Lehner |
7- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
86387g |
Isogeny class |
Conductor |
86387 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
35640 |
Modular degree for the optimal curve |
Δ |
-207415187 = -1 · 76 · 41 · 43 |
Discriminant |
Eigenvalues |
2 1 0 7- -2 -6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,82,-605] |
[a1,a2,a3,a4,a6] |
j |
512000/1763 |
j-invariant |
L |
0.90729550233029 |
L(r)(E,1)/r! |
Ω |
0.90729549218592 |
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 |
1763c1 |
Quadratic twists by: -7 |