Atkin-Lehner |
2+ 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066r |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
6806800 |
Modular degree for the optimal curve |
Δ |
-1.319865332386E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11- 13- -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12158566,16406460052] |
[a1,a2,a3,a4,a6] |
j |
-112205650221491190337/745029571313664 |
j-invariant |
L |
0.76707947106633 |
L(r)(E,1)/r! |
Ω |
0.15341589919981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
546e1 |
Quadratic twists by: -11 |