Atkin-Lehner |
17+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126293d |
Isogeny class |
Conductor |
126293 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
-16458630053 = -1 · 172 · 195 · 23 |
Discriminant |
Eigenvalues |
-1 -1 -2 -1 3 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11,-6168] |
[a1,a2,a3,a4,a6] |
Generators |
[51:335:1] |
Generators of the group modulo torsion |
j |
506447/56950277 |
j-invariant |
L |
1.7670008747318 |
L(r)(E,1)/r! |
Ω |
0.56894812669602 |
Real period |
R |
0.62114660391051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999993844902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126293e1 |
Quadratic twists by: 17 |