Atkin-Lehner |
11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43681a |
Isogeny class |
Conductor |
43681 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
173457251 = 113 · 194 |
Discriminant |
Eigenvalues |
1 0 3 1 11+ 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-248,-1303] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:15:1] |
Generators of the group modulo torsion |
j |
9747 |
j-invariant |
L |
8.6588374385745 |
L(r)(E,1)/r! |
Ω |
1.2107955129588 |
Real period |
R |
1.1918937241271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43681b1 43681e1 |
Quadratic twists by: -11 -19 |