Atkin-Lehner |
2+ 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66792f |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
39674448 = 24 · 34 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11+ 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6827,219408] |
[a1,a2,a3,a4,a6] |
j |
1652642797568/1863 |
j-invariant |
L |
3.4445059436566 |
L(r)(E,1)/r! |
Ω |
1.7222529684769 |
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 |
66792v1 |
Quadratic twists by: -11 |