Atkin-Lehner |
2- 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
49440p |
Isogeny class |
Conductor |
49440 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-9.7538648528679E+18 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 3 1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57440,-150373620] |
[a1,a2,a3,a4,a6] |
Generators |
[7034:175203:8] |
Generators of the group modulo torsion |
j |
-40935924753857288/19050517290757635 |
j-invariant |
L |
8.1049643182512 |
L(r)(E,1)/r! |
Ω |
0.10313603105036 |
Real period |
R |
1.3097531217954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49440j1 98880bf1 |
Quadratic twists by: -4 8 |