Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576co |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
998400 |
Modular degree for the optimal curve |
Δ |
1.6575999223435E+19 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 11- -3 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1184481,456273729] |
[a1,a2,a3,a4,a6] |
Generators |
[315:10692:1] |
Generators of the group modulo torsion |
j |
5608651298993519048/505859351301117 |
j-invariant |
L |
4.3876078018672 |
L(r)(E,1)/r! |
Ω |
0.21409766151911 |
Real period |
R |
1.7077906451522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999935 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576db1 24288h1 |
Quadratic twists by: -4 8 |