Atkin-Lehner |
2- 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
44676r |
Isogeny class |
Conductor |
44676 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
2505216 |
Modular degree for the optimal curve |
Δ |
-6.52413048463E+21 |
Discriminant |
Eigenvalues |
2- 3- 1 4 -3 -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3728688,-2724352828] |
[a1,a2,a3,a4,a6] |
Generators |
[2596:156366:1] |
Generators of the group modulo torsion |
j |
30720222272699826176/34958689582422579 |
j-invariant |
L |
7.0987563304121 |
L(r)(E,1)/r! |
Ω |
0.071956435901811 |
Real period |
R |
0.58722338644471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14892b1 |
Quadratic twists by: -3 |