Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360bc |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
32 |
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 |
[-29:384:1] |
Generators of the group modulo torsion |
j |
392383937161/207562500 |
j-invariant |
L |
5.6687094563862 |
L(r)(E,1)/r! |
Ω |
0.50982341337908 |
Real period |
R |
1.3898708130167 |
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 |
39360bt1 1230a1 118080cc1 |
Quadratic twists by: -4 8 -3 |