Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240r |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-410187421440 = -1 · 28 · 314 · 5 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33,30814] |
[a1,a2,a3,a4,a6] |
Generators |
[165:2128:1] |
Generators of the group modulo torsion |
j |
21296/2197935 |
j-invariant |
L |
6.7846884638438 |
L(r)(E,1)/r! |
Ω |
0.74869270043039 |
Real period |
R |
4.5310235160229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24120x1 16080g1 |
Quadratic twists by: -4 -3 |