Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224ey |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-806887666368 = -1 · 26 · 37 · 78 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 6 -5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2058,24010] |
[a1,a2,a3,a4,a6] |
Generators |
[53:531:1] |
Generators of the group modulo torsion |
j |
3584/3 |
j-invariant |
L |
3.8931703118409 |
L(r)(E,1)/r! |
Ω |
0.57889462103872 |
Real period |
R |
3.3625898137172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224ez1 14112n1 9408cp1 28224gm1 |
Quadratic twists by: -4 8 -3 -7 |