Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14706q |
Isogeny class |
Conductor |
14706 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
21955940352 = 212 · 38 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1571,23267] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:58:1] [-21:226:1] |
Generators of the group modulo torsion |
j |
587848678633/30117888 |
j-invariant |
L |
7.937095976615 |
L(r)(E,1)/r! |
Ω |
1.1914032353269 |
Real period |
R |
0.55516440203096 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117648bj1 4902f1 |
Quadratic twists by: -4 -3 |