Atkin-Lehner |
2+ 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064bf |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-57757888512 = -1 · 212 · 36 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 4 -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2057,37047] |
[a1,a2,a3,a4,a6] |
Generators |
[19:72:1] |
Generators of the group modulo torsion |
j |
-235113600448/14101047 |
j-invariant |
L |
12.112098902173 |
L(r)(E,1)/r! |
Ω |
1.0978439664945 |
Real period |
R |
0.91938526853325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064t1 64032a1 |
Quadratic twists by: -4 8 |