Atkin-Lehner |
2- 3+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20862q |
Isogeny class |
Conductor |
20862 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
7818743808 = 212 · 33 · 19 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 2 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4355,-109437] |
[a1,a2,a3,a4,a6] |
Generators |
[179:2106:1] |
Generators of the group modulo torsion |
j |
338244646921875/289583104 |
j-invariant |
L |
8.5681627084945 |
L(r)(E,1)/r! |
Ω |
0.58773645207289 |
Real period |
R |
1.2148532841939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20862b1 |
Quadratic twists by: -3 |