Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13818w |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
230 |
Product of Tamagawa factors cp |
deg |
93840 |
Modular degree for the optimal curve |
Δ |
-10811452629712896 = -1 · 223 · 35 · 74 · 472 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 3 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8035,4995633] |
[a1,a2,a3,a4,a6] |
Generators |
[418:-9233:1] |
Generators of the group modulo torsion |
j |
23893832628239/4502895722496 |
j-invariant |
L |
9.0498545577039 |
L(r)(E,1)/r! |
Ω |
0.31260622158619 |
Real period |
R |
0.12586823617744 |
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 |
110544bw1 41454h1 13818s1 |
Quadratic twists by: -4 -3 -7 |