Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47658ba |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3055104 |
Modular degree for the optimal curve |
Δ |
-1.6714302656124E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 0 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1896606,-2209176828] |
[a1,a2,a3,a4,a6] |
Generators |
[2142:58572:1] |
Generators of the group modulo torsion |
j |
-924928727325889/2048997570624 |
j-invariant |
L |
8.9830072511188 |
L(r)(E,1)/r! |
Ω |
0.060204220696876 |
Real period |
R |
1.5542596701031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47658l1 |
Quadratic twists by: 13 |