Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160cb |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-48616597094400 = -1 · 224 · 37 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8853,98714] |
[a1,a2,a3,a4,a6] |
Generators |
[38:700:1] |
Generators of the group modulo torsion |
j |
25698491351/16281600 |
j-invariant |
L |
6.2917783272767 |
L(r)(E,1)/r! |
Ω |
0.39491028965533 |
Real period |
R |
3.9830427897735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4770bg1 12720m1 |
Quadratic twists by: -4 -3 |