Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160cg |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
19782144000 = 212 · 36 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19827,1074546] |
[a1,a2,a3,a4,a6] |
Generators |
[87:-90:1] |
Generators of the group modulo torsion |
j |
288673724529/6625 |
j-invariant |
L |
5.217707039109 |
L(r)(E,1)/r! |
Ω |
1.126342302054 |
Real period |
R |
0.38603621575157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2385g1 4240b1 |
Quadratic twists by: -4 -3 |