Atkin-Lehner |
2+ 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9912g |
Isogeny class |
Conductor |
9912 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-24582334896 = -1 · 24 · 312 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,721,1446] |
[a1,a2,a3,a4,a6] |
j |
2587063175168/1536395931 |
j-invariant |
L |
2.1886426799309 |
L(r)(E,1)/r! |
Ω |
0.72954755997696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19824d1 79296b1 29736q1 69384e1 |
Quadratic twists by: -4 8 -3 -7 |