Atkin-Lehner |
2- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
67424m |
Isogeny class |
Conductor |
67424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82432 |
Modular degree for the optimal curve |
Δ |
-888425011712 = -1 · 29 · 79 · 43 |
Discriminant |
Eigenvalues |
2- 1 4 7- 3 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1944,31772] |
[a1,a2,a3,a4,a6] |
Generators |
[4995181:50650810:79507] |
Generators of the group modulo torsion |
j |
39304/43 |
j-invariant |
L |
10.795901812193 |
L(r)(E,1)/r! |
Ω |
0.58880607903493 |
Real period |
R |
9.1676208834207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67424g1 67424n1 |
Quadratic twists by: -4 -7 |