Atkin-Lehner |
2- 3+ 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
129648t |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1024000 |
Modular degree for the optimal curve |
Δ |
17620828801339392 = 212 · 316 · 372 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68304,-2511360] |
[a1,a2,a3,a4,a6] |
j |
8604161129276497/4301960156577 |
j-invariant |
L |
1.2442676102094 |
L(r)(E,1)/r! |
Ω |
0.31106702606589 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8103e1 |
Quadratic twists by: -4 |