Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
14448bf |
Isogeny class |
Conductor |
14448 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
1056966672384 = 215 · 37 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 2 -3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13480,595892] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:1008:1] |
Generators of the group modulo torsion |
j |
66140223486121/258048504 |
j-invariant |
L |
6.4654007180211 |
L(r)(E,1)/r! |
Ω |
0.87823088169569 |
Real period |
R |
0.087641026717605 |
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 |
1806a1 57792ci1 43344bv1 101136bq1 |
Quadratic twists by: -4 8 -3 -7 |