Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560bw |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
35354050560 = 218 · 36 · 5 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2028,33968] |
[a1,a2,a3,a4,a6] |
Generators |
[13:99:1] |
Generators of the group modulo torsion |
j |
4826809/185 |
j-invariant |
L |
5.5039671664149 |
L(r)(E,1)/r! |
Ω |
1.1508505059191 |
Real period |
R |
2.3912606932901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016533 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560ew1 1665f1 11840s1 |
Quadratic twists by: -4 8 -3 |