Atkin-Lehner |
2- 3+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20826v |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1351524096 = -1 · 28 · 33 · 133 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 -3 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-152,1947] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-45:1] |
Generators of the group modulo torsion |
j |
-14295828483/50056448 |
j-invariant |
L |
7.5822819918487 |
L(r)(E,1)/r! |
Ω |
1.3336508816674 |
Real period |
R |
0.1184449471259 |
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 |
20826g1 |
Quadratic twists by: -3 |