Atkin-Lehner |
2- 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
14544k |
Isogeny class |
Conductor |
14544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
-44679168 = -1 · 214 · 33 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 4 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,234] |
[a1,a2,a3,a4,a6] |
j |
328509/404 |
j-invariant |
L |
2.7110836846155 |
L(r)(E,1)/r! |
Ω |
1.3555418423078 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1818h1 58176bq1 14544n1 |
Quadratic twists by: -4 8 -3 |