Atkin-Lehner |
2+ 3+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
128592b |
Isogeny class |
Conductor |
128592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
30863382379776 = 28 · 39 · 194 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 1 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14148,-590004] |
[a1,a2,a3,a4,a6] |
j |
62155219968/6125087 |
j-invariant |
L |
1.7621004057442 |
L(r)(E,1)/r! |
Ω |
0.44052519378013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64296c1 128592a1 |
Quadratic twists by: -4 -3 |