Atkin-Lehner |
3+ 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
48555b |
Isogeny class |
Conductor |
48555 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-7.0690313548707E+19 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 -3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2483352,-1559651443] |
[a1,a2,a3,a4,a6] |
Generators |
[25170:1180409:8] |
Generators of the group modulo torsion |
j |
-86049285226408968192/3591440001458465 |
j-invariant |
L |
4.5622912869966 |
L(r)(E,1)/r! |
Ω |
0.05998602196957 |
Real period |
R |
6.3379922205182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48555a1 |
Quadratic twists by: -3 |