Atkin-Lehner |
2- 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
9648f |
Isogeny class |
Conductor |
9648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
7409664 = 212 · 33 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51,50] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:8:1] [-2:12:1] |
Generators of the group modulo torsion |
j |
132651/67 |
j-invariant |
L |
5.0556532825983 |
L(r)(E,1)/r! |
Ω |
2.0778036942485 |
Real period |
R |
1.2165858826304 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
603a1 38592bl1 9648e1 |
Quadratic twists by: -4 8 -3 |