Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2856f |
Isogeny class |
Conductor |
2856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-2467584 = -1 · 28 · 34 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28,-60] |
[a1,a2,a3,a4,a6] |
Generators |
[4:10:1] |
Generators of the group modulo torsion |
j |
9148592/9639 |
j-invariant |
L |
3.2109929270268 |
L(r)(E,1)/r! |
Ω |
1.3954314667294 |
Real period |
R |
1.1505376665157 |
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 |
5712j1 22848bi1 8568g1 71400bm1 |
Quadratic twists by: -4 8 -3 5 |