Atkin-Lehner |
2- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4048c |
Isogeny class |
Conductor |
4048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
485513363456 = 217 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 0 -1 -1 11+ -7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14963,-703694] |
[a1,a2,a3,a4,a6] |
j |
90452336967369/118533536 |
j-invariant |
L |
0.86339406121069 |
L(r)(E,1)/r! |
Ω |
0.43169703060535 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
506d1 16192x1 36432cn1 101200bb1 |
Quadratic twists by: -4 8 -3 5 |