Atkin-Lehner |
5+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
19825d |
Isogeny class |
Conductor |
19825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
12390625 = 56 · 13 · 61 |
Discriminant |
Eigenvalues |
-1 0 5+ 4 4 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-405,-3028] |
[a1,a2,a3,a4,a6] |
j |
469097433/793 |
j-invariant |
L |
2.1290884305799 |
L(r)(E,1)/r! |
Ω |
1.0645442152899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
793a1 |
Quadratic twists by: 5 |