Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840bx |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-328697118720 = -1 · 221 · 36 · 5 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -4 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11628,-483408] |
[a1,a2,a3,a4,a6] |
Generators |
[774:21312:1] |
Generators of the group modulo torsion |
j |
-909853209/1720 |
j-invariant |
L |
5.5734787111492 |
L(r)(E,1)/r! |
Ω |
0.22984978522528 |
Real period |
R |
3.0310441506784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998830444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840ek1 3870x1 13760i1 |
Quadratic twists by: -4 8 -3 |