Atkin-Lehner |
2+ 3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
73326r |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
15651026525101572 = 22 · 39 · 117 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-553941,158527180] |
[a1,a2,a3,a4,a6] |
Generators |
[1550:-55770:1] [101:10128:1] |
Generators of the group modulo torsion |
j |
10611016899918625/8834596452 |
j-invariant |
L |
8.9343124758245 |
L(r)(E,1)/r! |
Ω |
0.38989256520413 |
Real period |
R |
0.63652238769937 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6666h1 |
Quadratic twists by: -11 |