Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224eu |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-3718138366623744 = -1 · 215 · 39 · 78 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 1 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127596,17786608] |
[a1,a2,a3,a4,a6] |
Generators |
[392:5292:1] |
Generators of the group modulo torsion |
j |
-1668296/27 |
j-invariant |
L |
7.3180120747839 |
L(r)(E,1)/r! |
Ω |
0.44355305200615 |
Real period |
R |
0.68744238914274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224ev1 14112bs1 9408cn1 28224gf1 |
Quadratic twists by: -4 8 -3 -7 |