Atkin-Lehner |
2+ 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
58656j |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-67571712 = -1 · 212 · 33 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 4 -1 3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81,-513] |
[a1,a2,a3,a4,a6] |
j |
-14526784/16497 |
j-invariant |
L |
4.5675746239494 |
L(r)(E,1)/r! |
Ω |
0.76126243712935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58656e1 117312ci1 |
Quadratic twists by: -4 8 |