Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592dj |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-475156755431424 = -1 · 214 · 312 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 5 11- 6 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-199089,-34274097] |
[a1,a2,a3,a4,a6] |
j |
-53265713623008208/29001266811 |
j-invariant |
L |
8.1362796276398 |
L(r)(E,1)/r! |
Ω |
0.11300388600254 |
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 |
86592c1 21648a1 |
Quadratic twists by: -4 8 |