Atkin-Lehner |
2- 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
43152bg |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
244224 |
Modular degree for the optimal curve |
Δ |
-27307508319216 = -1 · 24 · 34 · 294 · 313 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 -6 0 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48602,-4148001] |
[a1,a2,a3,a4,a6] |
Generators |
[295:2697:1] |
Generators of the group modulo torsion |
j |
-793551448031473408/1706719269951 |
j-invariant |
L |
3.1467915359113 |
L(r)(E,1)/r! |
Ω |
0.16074938204818 |
Real period |
R |
0.40782836091066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10788a1 129456bo1 |
Quadratic twists by: -4 -3 |