Atkin-Lehner |
2+ 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
10582b |
Isogeny class |
Conductor |
10582 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
736 |
Modular degree for the optimal curve |
Δ |
-10582 = -1 · 2 · 11 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 2 2 1 11- 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6,2] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:7:8] |
Generators of the group modulo torsion |
j |
18191447/10582 |
j-invariant |
L |
5.4216319230176 |
L(r)(E,1)/r! |
Ω |
2.3998589315839 |
Real period |
R |
2.2591460904909 |
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 |
84656m1 95238ce1 116402bi1 |
Quadratic twists by: -4 -3 -11 |