Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576db |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
200 |
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 |
[2547:114264:1] [-723:4764:1] |
Generators of the group modulo torsion |
j |
5608651298993519048/505859351301117 |
j-invariant |
L |
10.206420091412 |
L(r)(E,1)/r! |
Ω |
0.14555084315096 |
Real period |
R |
0.35061356809961 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576co1 24288f1 |
Quadratic twists by: -4 8 |