Atkin-Lehner |
2+ 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592d |
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 |
[-44:80:1] |
Generators of the group modulo torsion |
j |
132651/67 |
j-invariant |
L |
5.9200881334025 |
L(r)(E,1)/r! |
Ω |
0.84825980609644 |
Real period |
R |
3.4895488922474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38592bm1 603b1 38592b1 |
Quadratic twists by: -4 8 -3 |