Atkin-Lehner |
2- 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
58032bq |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1193724739584 = -1 · 217 · 36 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -4 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13971,637778] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:992:1] |
Generators of the group modulo torsion |
j |
-100999381393/399776 |
j-invariant |
L |
8.5750221505763 |
L(r)(E,1)/r! |
Ω |
0.86940692625245 |
Real period |
R |
1.232883861913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7254e1 6448l1 |
Quadratic twists by: -4 -3 |