Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286g |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-5886022147771465728 = -1 · 225 · 33 · 710 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -1 -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,244452,-107116976] |
[a1,a2,a3,a4,a6] |
j |
211816278261/771751936 |
j-invariant |
L |
0.24366786119029 |
L(r)(E,1)/r! |
Ω |
0.12183393059515 |
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 |
20286bq1 20286b1 |
Quadratic twists by: -3 -7 |