Atkin-Lehner |
2- 3+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
43152u |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
10737598464 = 214 · 36 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 6 -6 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-552,-144] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:54:1] |
Generators of the group modulo torsion |
j |
4549540393/2621484 |
j-invariant |
L |
3.9254486178948 |
L(r)(E,1)/r! |
Ω |
1.0726781664717 |
Real period |
R |
0.91487100712013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5394d1 129456ce1 |
Quadratic twists by: -4 -3 |