Atkin-Lehner |
2+ 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
43152k |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-428755197591917568 = -1 · 210 · 33 · 298 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-217904,-50325180] |
[a1,a2,a3,a4,a6] |
j |
-1117432648433352388/418706247648357 |
j-invariant |
L |
1.3015192654153 |
L(r)(E,1)/r! |
Ω |
0.10845993879042 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21576h3 129456k3 |
Quadratic twists by: -4 -3 |