Atkin-Lehner |
2+ 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064bp |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-1552177178735542272 = -1 · 224 · 314 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-347457,-99148257] |
[a1,a2,a3,a4,a6] |
j |
-17696534894747857/5921086039488 |
j-invariant |
L |
2.7070730760385 |
L(r)(E,1)/r! |
Ω |
0.096681195882236 |
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 |
128064ce1 4002k1 |
Quadratic twists by: -4 8 |