Atkin-Lehner |
2+ 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
43152k |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
128256 |
Modular degree for the optimal curve |
Δ |
11262672 = 24 · 33 · 292 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-234639,-43825320] |
[a1,a2,a3,a4,a6] |
j |
89290689706121377792/703917 |
j-invariant |
L |
1.3015192654153 |
L(r)(E,1)/r! |
Ω |
0.21691987758085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21576h1 129456k1 |
Quadratic twists by: -4 -3 |