Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
66300bl |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-77840343750000 = -1 · 24 · 3 · 59 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 3 13+ 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40958,-3232287] |
[a1,a2,a3,a4,a6] |
Generators |
[1908:82875:1] |
Generators of the group modulo torsion |
j |
-243164694272/2490891 |
j-invariant |
L |
9.4537270015327 |
L(r)(E,1)/r! |
Ω |
0.16769448448883 |
Real period |
R |
1.5659640126258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66300u1 |
Quadratic twists by: 5 |