Atkin-Lehner |
2- 11- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10582l |
Isogeny class |
Conductor |
10582 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-3032039296 = -1 · 27 · 113 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 0 -3 3 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1699,-26653] |
[a1,a2,a3,a4,a6] |
Generators |
[95:766:1] |
Generators of the group modulo torsion |
j |
-542080999521153/3032039296 |
j-invariant |
L |
5.9515004268531 |
L(r)(E,1)/r! |
Ω |
0.37170290078978 |
Real period |
R |
0.38122487291454 |
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 |
84656p1 95238bd1 116402h1 |
Quadratic twists by: -4 -3 -11 |