Atkin-Lehner |
2- 3+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
20826t |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-8189116416 = -1 · 218 · 33 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -5 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-764,9407] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-59:1] |
Generators of the group modulo torsion |
j |
-1824345099459/303300608 |
j-invariant |
L |
5.9582752762628 |
L(r)(E,1)/r! |
Ω |
1.2625377768824 |
Real period |
R |
0.13109124304506 |
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 |
20826a1 |
Quadratic twists by: -3 |