Atkin-Lehner |
3- 5- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
48645j |
Isogeny class |
Conductor |
48645 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
527611118765625 = 310 · 56 · 233 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-103847,12859094] |
[a1,a2,a3,a4,a6] |
Generators |
[-363:1801:1] [162:436:1] |
Generators of the group modulo torsion |
j |
169892468943819049/723746390625 |
j-invariant |
L |
6.4159625664587 |
L(r)(E,1)/r! |
Ω |
0.52343011689466 |
Real period |
R |
0.68097412299824 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16215c1 |
Quadratic twists by: -3 |