Atkin-Lehner |
17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12427b |
Isogeny class |
Conductor |
12427 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-1037915467 = -1 · 176 · 43 |
Discriminant |
Eigenvalues |
-2 2 4 0 -3 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-96,1624] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:22:1] |
Generators of the group modulo torsion |
j |
-4096/43 |
j-invariant |
L |
4.1320820019192 |
L(r)(E,1)/r! |
Ω |
1.3263520332803 |
Real period |
R |
3.1153735194266 |
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 |
111843i1 43a1 |
Quadratic twists by: -3 17 |