Atkin-Lehner |
2+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
23584a |
Isogeny class |
Conductor |
23584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
47168 = 26 · 11 · 67 |
Discriminant |
Eigenvalues |
2+ 0 0 4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-245,1476] |
[a1,a2,a3,a4,a6] |
j |
25412184000/737 |
j-invariant |
L |
1.6666549323321 |
L(r)(E,1)/r! |
Ω |
3.3333098646644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23584b1 47168c1 |
Quadratic twists by: -4 8 |