Atkin-Lehner |
2- 3+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43152x |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-35542643982336 = -1 · 214 · 34 · 29 · 314 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7016,174064] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:270:1] |
Generators of the group modulo torsion |
j |
9323320270823/8677403316 |
j-invariant |
L |
2.3593753611771 |
L(r)(E,1)/r! |
Ω |
0.42686922051727 |
Real period |
R |
2.7635810311124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5394g4 129456bf3 |
Quadratic twists by: -4 -3 |