Atkin-Lehner |
2+ 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064bg |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-98353152 = -1 · 214 · 32 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -4 5 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-277,-1933] |
[a1,a2,a3,a4,a6] |
Generators |
[927146:2838423:39304] |
Generators of the group modulo torsion |
j |
-143982592/6003 |
j-invariant |
L |
11.6917984014 |
L(r)(E,1)/r! |
Ω |
0.58352600601282 |
Real period |
R |
10.01823249571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064cv1 8004a1 |
Quadratic twists by: -4 8 |