Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680ca |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
110660660352000 = 210 · 310 · 53 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-122952,-16586296] |
[a1,a2,a3,a4,a6] |
j |
275361373935616/148240125 |
j-invariant |
L |
3.0595738064448 |
L(r)(E,1)/r! |
Ω |
0.25496448387062 |
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 |
31680dq1 3960c1 10560d1 |
Quadratic twists by: -4 8 -3 |