Atkin-Lehner |
2+ 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20286b |
Isogeny class |
Conductor |
20286 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-50030362755072 = -1 · 225 · 33 · 74 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -1 2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4989,310869] |
[a1,a2,a3,a4,a6] |
Generators |
[195:2847:1] |
Generators of the group modulo torsion |
j |
211816278261/771751936 |
j-invariant |
L |
4.4822551204122 |
L(r)(E,1)/r! |
Ω |
0.45033200123549 |
Real period |
R |
4.9766118198519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20286bi1 20286g1 |
Quadratic twists by: -3 -7 |