Atkin-Lehner |
2- 3- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20748l |
Isogeny class |
Conductor |
20748 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
22176 |
Modular degree for the optimal curve |
Δ |
-163595158272 = -1 · 28 · 37 · 7 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -3 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,723,18207] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:117:1] |
Generators of the group modulo torsion |
j |
163041370112/639043587 |
j-invariant |
L |
6.7242001536574 |
L(r)(E,1)/r! |
Ω |
0.7276539234482 |
Real period |
R |
0.44004436312204 |
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 |
82992ca1 62244t1 |
Quadratic twists by: -4 -3 |