Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36800cl |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
150732800 = 218 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 -1 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140,-240] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:16:1] |
Generators of the group modulo torsion |
j |
46305/23 |
j-invariant |
L |
5.2975870359491 |
L(r)(E,1)/r! |
Ω |
1.4608608077912 |
Real period |
R |
1.8131730989341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800a1 9200y1 36800db1 |
Quadratic twists by: -4 8 5 |