Atkin-Lehner |
3- 7+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43407i |
Isogeny class |
Conductor |
43407 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-166160673084861 = -1 · 315 · 75 · 13 · 53 |
Discriminant |
Eigenvalues |
1 3- -3 7+ 4 13- -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-280971,57398166] |
[a1,a2,a3,a4,a6] |
Generators |
[462:4872:1] |
Generators of the group modulo torsion |
j |
-3364972696972491697/227929592709 |
j-invariant |
L |
4.6060843284741 |
L(r)(E,1)/r! |
Ω |
0.54480241487292 |
Real period |
R |
2.1136490050016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14469h1 |
Quadratic twists by: -3 |