Atkin-Lehner |
2- 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22512h |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-10558128 = -1 · 24 · 3 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27,-156] |
[a1,a2,a3,a4,a6] |
j |
131072000/659883 |
j-invariant |
L |
1.1478000393952 |
L(r)(E,1)/r! |
Ω |
1.1478000393953 |
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 |
5628d1 90048bs1 67536bg1 |
Quadratic twists by: -4 8 -3 |