Atkin-Lehner |
2- 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064u |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
5180387688972288 = 232 · 32 · 133 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 4 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61056,4681728] |
[a1,a2,a3,a4,a6] |
Generators |
[-2214:4425:8] |
Generators of the group modulo torsion |
j |
6145481607815809/1264743088128 |
j-invariant |
L |
5.5936188357474 |
L(r)(E,1)/r! |
Ω |
0.40751368033457 |
Real period |
R |
6.8631055909039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758i1 114192bt1 |
Quadratic twists by: -4 -3 |