Atkin-Lehner |
2- 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
43152bf |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
547200 |
Modular degree for the optimal curve |
Δ |
-797989684248576 = -1 · 217 · 35 · 292 · 313 |
Discriminant |
Eigenvalues |
2- 3- -3 0 3 -3 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1355912,607258356] |
[a1,a2,a3,a4,a6] |
Generators |
[862:8928:1] |
Generators of the group modulo torsion |
j |
-67306746411784284553/194821700256 |
j-invariant |
L |
6.2502714961003 |
L(r)(E,1)/r! |
Ω |
0.43777909849287 |
Real period |
R |
0.11897689035423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5394b1 129456bn1 |
Quadratic twists by: -4 -3 |