Atkin-Lehner |
2+ 3- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43152g |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-8434436023152 = -1 · 24 · 39 · 29 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 -3 5 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5088,-2097] |
[a1,a2,a3,a4,a6] |
Generators |
[417:8649:1] |
Generators of the group modulo torsion |
j |
910247883890432/527152251447 |
j-invariant |
L |
7.6637934929537 |
L(r)(E,1)/r! |
Ω |
0.43746894418116 |
Real period |
R |
0.97324921192078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21576i1 129456e1 |
Quadratic twists by: -4 -3 |