Atkin-Lehner |
2- 3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
53328w |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-172997738496 = -1 · 219 · 33 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11- -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1200,-11628] |
[a1,a2,a3,a4,a6] |
Generators |
[162:2112:1] |
Generators of the group modulo torsion |
j |
46617130799/42235776 |
j-invariant |
L |
8.8996519789411 |
L(r)(E,1)/r! |
Ω |
0.55756414502477 |
Real period |
R |
0.6650693660374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6666e1 |
Quadratic twists by: -4 |