Atkin-Lehner |
2- 3- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
85932bf |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-16988417140464 = -1 · 24 · 315 · 7 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2721,205693] |
[a1,a2,a3,a4,a6] |
j |
-191012516608/1456482951 |
j-invariant |
L |
4.7614184222461 |
L(r)(E,1)/r! |
Ω |
0.59517730278029 |
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 |
28644s1 |
Quadratic twists by: -3 |