Atkin-Lehner |
2- 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20748p |
Isogeny class |
Conductor |
20748 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-15685488 = -1 · 24 · 34 · 72 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 13+ -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,62,-19] |
[a1,a2,a3,a4,a6] |
Generators |
[5:21:1] |
Generators of the group modulo torsion |
j |
1620896000/980343 |
j-invariant |
L |
6.2158369966009 |
L(r)(E,1)/r! |
Ω |
1.2827079483093 |
Real period |
R |
0.60573385048344 |
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 |
82992bf1 62244ba1 |
Quadratic twists by: -4 -3 |