Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4488f |
Isogeny class |
Conductor |
4488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
21973248 = 28 · 33 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28612,1872388] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:1854:1] |
Generators of the group modulo torsion |
j |
10119139303540048/85833 |
j-invariant |
L |
3.2197464632272 |
L(r)(E,1)/r! |
Ω |
1.4893717092625 |
Real period |
R |
4.3236304855306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8976k1 35904bn1 13464j1 112200v1 |
Quadratic twists by: -4 8 -3 5 |