Atkin-Lehner |
17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12427a |
Isogeny class |
Conductor |
12427 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-5099278689371 = -1 · 179 · 43 |
Discriminant |
Eigenvalues |
1 -1 1 0 6 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-155632,23567303] |
[a1,a2,a3,a4,a6] |
Generators |
[-322:6519:1] |
Generators of the group modulo torsion |
j |
-17271547035049/211259 |
j-invariant |
L |
4.9140314853124 |
L(r)(E,1)/r! |
Ω |
0.69698717607154 |
Real period |
R |
3.5251950495055 |
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 |
111843f1 731a1 |
Quadratic twists by: -3 17 |