Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768u |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-6163070976 = -1 · 216 · 37 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 3 -1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4044,99056] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-144:1] [4:288:1] |
Generators of the group modulo torsion |
j |
-153091012/129 |
j-invariant |
L |
6.4831992049781 |
L(r)(E,1)/r! |
Ω |
1.3326945572059 |
Real period |
R |
0.30404562554885 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24768cs1 3096e1 8256g1 |
Quadratic twists by: -4 8 -3 |