Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536bd |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
794762188928581632 = 244 · 3 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-364584,-73194828] |
[a1,a2,a3,a4,a6] |
j |
1308451928740468777/194033737531392 |
j-invariant |
L |
3.531922436601 |
L(r)(E,1)/r! |
Ω |
0.1962179131445 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2442c1 78144ce1 58608bq1 |
Quadratic twists by: -4 8 -3 |