Atkin-Lehner |
2- 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
19776bc |
Isogeny class |
Conductor |
19776 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-6561202176 = -1 · 218 · 35 · 103 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -2 5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,-4993] |
[a1,a2,a3,a4,a6] |
Generators |
[47:288:1] |
Generators of the group modulo torsion |
j |
-24137569/25029 |
j-invariant |
L |
7.2139476187329 |
L(r)(E,1)/r! |
Ω |
0.51735673061002 |
Real period |
R |
0.69719278709555 |
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 |
19776f1 4944d1 59328bg1 |
Quadratic twists by: -4 8 -3 |