Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286f |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1022840406 = -1 · 2 · 33 · 77 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 2 1 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-744,-7778] |
[a1,a2,a3,a4,a6] |
j |
-14348907/322 |
j-invariant |
L |
1.8257122846682 |
L(r)(E,1)/r! |
Ω |
0.45642807116704 |
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 |
20286bp1 2898a1 |
Quadratic twists by: -3 -7 |