Atkin-Lehner |
13+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5083a |
Isogeny class |
Conductor |
5083 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-66079 = -1 · 132 · 17 · 23 |
Discriminant |
Eigenvalues |
1 0 2 0 0 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4,-13] |
[a1,a2,a3,a4,a6] |
Generators |
[1672:1819:512] |
Generators of the group modulo torsion |
j |
6128487/66079 |
j-invariant |
L |
4.9015580063343 |
L(r)(E,1)/r! |
Ω |
1.7154888337992 |
Real period |
R |
5.7144738103354 |
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 |
81328i1 45747c1 127075f1 66079c1 |
Quadratic twists by: -4 -3 5 13 |