Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576bm |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
10483200 |
Modular degree for the optimal curve |
Δ |
-2.3648796642865E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 11- -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-203808129,1122276376287] |
[a1,a2,a3,a4,a6] |
Generators |
[7947:-67584:1] |
Generators of the group modulo torsion |
j |
-3571480626044740843224673/9021299988885921792 |
j-invariant |
L |
7.4752441633833 |
L(r)(E,1)/r! |
Ω |
0.081964868512222 |
Real period |
R |
1.5200097918107 |
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 |
48576cg1 1518k1 |
Quadratic twists by: -4 8 |