Atkin-Lehner |
2- 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
58032bn |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-97471475712 = -1 · 212 · 310 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 2 1 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1920,35696] |
[a1,a2,a3,a4,a6] |
Generators |
[97:873:1] |
Generators of the group modulo torsion |
j |
-262144000/32643 |
j-invariant |
L |
7.3115730588671 |
L(r)(E,1)/r! |
Ω |
1.0347255419187 |
Real period |
R |
3.5330977938778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3627a1 19344p1 |
Quadratic twists by: -4 -3 |