Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4488b |
Isogeny class |
Conductor |
4488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
21973248 = 28 · 33 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -4 11- 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76,148] |
[a1,a2,a3,a4,a6] |
j |
192143824/85833 |
j-invariant |
L |
1.9285143115249 |
L(r)(E,1)/r! |
Ω |
1.9285143115249 |
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 |
8976h1 35904bd1 13464q1 112200cp1 |
Quadratic twists by: -4 8 -3 5 |