Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3168z |
Isogeny class |
Conductor |
3168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
40335810698304 = 26 · 316 · 114 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-176421,-28519940] |
[a1,a2,a3,a4,a6] |
j |
13015685560572352/864536409 |
j-invariant |
L |
1.8636042950747 |
L(r)(E,1)/r! |
Ω |
0.23295053688434 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3168i1 6336n2 1056d1 79200bv1 |
Quadratic twists by: -4 8 -3 5 |