Atkin-Lehner |
3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67335i |
Isogeny class |
Conductor |
67335 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
210528 |
Modular degree for the optimal curve |
Δ |
147997953225 = 39 · 52 · 673 |
Discriminant |
Eigenvalues |
1 3- 5- 4 0 6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27363,-1744319] |
[a1,a2,a3,a4,a6] |
Generators |
[5806:149049:8] |
Generators of the group modulo torsion |
j |
7532993969227/492075 |
j-invariant |
L |
11.871712766038 |
L(r)(E,1)/r! |
Ω |
0.37120364372788 |
Real period |
R |
3.553518987604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67335a1 |
Quadratic twists by: -67 |