Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680cx |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
36582036480 = 210 · 310 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4728,124792] |
[a1,a2,a3,a4,a6] |
j |
15657723904/49005 |
j-invariant |
L |
2.322815490238 |
L(r)(E,1)/r! |
Ω |
1.1614077451173 |
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 |
31680o1 7920n1 10560ci1 |
Quadratic twists by: -4 8 -3 |