Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696fn |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5.9726416092867E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,312180,-365716208] |
[a1,a2,a3,a4,a6] |
j |
9938375/176418 |
j-invariant |
L |
1.5396482310258 |
L(r)(E,1)/r! |
Ω |
0.096228014903592 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696bn2 17424bm2 23232dm2 6336ce2 |
Quadratic twists by: -4 8 -3 -11 |