Atkin-Lehner |
2+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
832f |
Isogeny class |
Conductor |
832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-436207616 = -1 · 225 · 13 |
Discriminant |
Eigenvalues |
2+ 3 1 1 2 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172,1328] |
[a1,a2,a3,a4,a6] |
j |
-2146689/1664 |
j-invariant |
L |
3.0736216668361 |
L(r)(E,1)/r! |
Ω |
1.536810833418 |
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 |
832j1 26b1 7488x1 20800r1 |
Quadratic twists by: -4 8 -3 5 |