Atkin-Lehner |
2- 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68244h |
Isogeny class |
Conductor |
68244 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
363662413923072 = 28 · 3 · 118 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22788,947076] |
[a1,a2,a3,a4,a6] |
j |
2885794000/801867 |
j-invariant |
L |
3.0044586388837 |
L(r)(E,1)/r! |
Ω |
0.5007431080821 |
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 |
6204e2 |
Quadratic twists by: -11 |