Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360bt |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
54411264000000 = 220 · 34 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9761,112065] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:640:1] |
Generators of the group modulo torsion |
j |
392383937161/207562500 |
j-invariant |
L |
5.2137004252164 |
L(r)(E,1)/r! |
Ω |
0.55194279627247 |
Real period |
R |
2.3615220908879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360bc1 9840ba1 118080ff1 |
Quadratic twists by: -4 8 -3 |