Atkin-Lehner |
2- 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330dm |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
456 |
Product of Tamagawa factors cp |
deg |
6259968 |
Modular degree for the optimal curve |
Δ |
-1.7826146478814E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -5 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4262775,-3950288343] |
[a1,a2,a3,a4,a6] |
Generators |
[6774:523893:1] |
Generators of the group modulo torsion |
j |
-807812888583637/168099840000 |
j-invariant |
L |
15.3274129764 |
L(r)(E,1)/r! |
Ω |
0.051954521630113 |
Real period |
R |
0.6469648203792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330bk1 |
Quadratic twists by: 13 |