Atkin-Lehner |
2- 3+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119130be |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3545856 |
Modular degree for the optimal curve |
Δ |
-3.6104901509372E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11+ -3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-345665,299347055] |
[a1,a2,a3,a4,a6] |
Generators |
[-1365:481160:27] |
Generators of the group modulo torsion |
j |
-268943595121/2125873200 |
j-invariant |
L |
9.5596435075911 |
L(r)(E,1)/r! |
Ω |
0.17660122527816 |
Real period |
R |
1.1277341880964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119130r1 |
Quadratic twists by: -19 |