Atkin-Lehner |
2- 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
38592bm |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
345705283584 = 218 · 39 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1836,-10800] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:64:1] |
Generators of the group modulo torsion |
j |
132651/67 |
j-invariant |
L |
2.9057343286138 |
L(r)(E,1)/r! |
Ω |
0.76916714983147 |
Real period |
R |
1.8888835341234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38592d1 9648e1 38592bl1 |
Quadratic twists by: -4 8 -3 |