Atkin-Lehner |
2+ 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14430p |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
1262336400 = 24 · 38 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-359,1946] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:28:1] [-12:73:1] |
Generators of the group modulo torsion |
j |
5096439860329/1262336400 |
j-invariant |
L |
5.1669686827091 |
L(r)(E,1)/r! |
Ω |
1.4365534098665 |
Real period |
R |
0.44959768352697 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440bf1 43290bv1 72150cb1 |
Quadratic twists by: -4 -3 5 |