Atkin-Lehner |
2- 3- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
49068d |
Isogeny class |
Conductor |
49068 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
-143082288 = -1 · 24 · 38 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 3 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60,-547] |
[a1,a2,a3,a4,a6] |
Generators |
[11:38:1] |
Generators of the group modulo torsion |
j |
2048000/12267 |
j-invariant |
L |
5.2369692309059 |
L(r)(E,1)/r! |
Ω |
0.91880067974859 |
Real period |
R |
2.8498940773055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16356a1 |
Quadratic twists by: -3 |