Atkin-Lehner |
2- 3- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
43758v |
Isogeny class |
Conductor |
43758 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-57504313152 = -1 · 26 · 37 · 11 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 11+ 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-464,-12045] |
[a1,a2,a3,a4,a6] |
Generators |
[35:99:1] |
Generators of the group modulo torsion |
j |
-15124197817/78881088 |
j-invariant |
L |
9.3998675415596 |
L(r)(E,1)/r! |
Ω |
0.46344102759145 |
Real period |
R |
0.28170513200685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14586c1 |
Quadratic twists by: -3 |