Atkin-Lehner |
2- 3- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12546q |
Isogeny class |
Conductor |
12546 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
8845231104 = 210 · 36 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2126,37981] |
[a1,a2,a3,a4,a6] |
Generators |
[7:149:1] |
Generators of the group modulo torsion |
j |
1457117049753/12133376 |
j-invariant |
L |
5.8055423713591 |
L(r)(E,1)/r! |
Ω |
1.3087882270904 |
Real period |
R |
0.44358149402563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100368cb1 1394b1 |
Quadratic twists by: -4 -3 |