Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224dm |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
7261988997312 = 26 · 39 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85995,-9705528] |
[a1,a2,a3,a4,a6] |
Generators |
[18758914021694:377945744672251:32218144568] |
Generators of the group modulo torsion |
j |
474552000/49 |
j-invariant |
L |
5.800806715056 |
L(r)(E,1)/r! |
Ω |
0.27879433527571 |
Real period |
R |
20.806759611236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224do1 14112d2 28224dn1 4032r1 |
Quadratic twists by: -4 8 -3 -7 |