Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
2856b |
Isogeny class |
Conductor |
2856 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-10917334358784 = -1 · 28 · 311 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -3 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,679,159051] |
[a1,a2,a3,a4,a6] |
Generators |
[67:-714:1] |
Generators of the group modulo torsion |
j |
135037162496/42645837339 |
j-invariant |
L |
3.5855883049896 |
L(r)(E,1)/r! |
Ω |
0.55798997939798 |
Real period |
R |
0.024340533672647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5712f1 22848e1 8568i1 71400cp1 |
Quadratic twists by: -4 8 -3 5 |