Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67518bs |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1144203421090620924 = 22 · 316 · 118 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-780836,260736171] |
[a1,a2,a3,a4,a6] |
Generators |
[597:2363:1] [773:10503:1] |
Generators of the group modulo torsion |
j |
40767965189713/885971196 |
j-invariant |
L |
13.050063654859 |
L(r)(E,1)/r! |
Ω |
0.27438602726764 |
Real period |
R |
5.9451203587206 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22506d2 6138h2 |
Quadratic twists by: -3 -11 |