Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032bi |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
15450607872 = 28 · 33 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-735,4802] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:98:1] |
Generators of the group modulo torsion |
j |
54000/19 |
j-invariant |
L |
6.108899207096 |
L(r)(E,1)/r! |
Ω |
1.1408536472701 |
Real period |
R |
0.66933423291918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67032a1 1368e1 |
Quadratic twists by: -3 -7 |