Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
96048bs |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-581578120986624 = -1 · 215 · 37 · 234 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 3 2 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64011,6340538] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:3312:1] |
Generators of the group modulo torsion |
j |
-9714044119753/194769336 |
j-invariant |
L |
10.369632904773 |
L(r)(E,1)/r! |
Ω |
0.51683110277328 |
Real period |
R |
0.31349799485685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999838297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12006o1 32016n1 |
Quadratic twists by: -4 -3 |