Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224bv |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
90371418633216 = 210 · 37 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16464,-672280] |
[a1,a2,a3,a4,a6] |
Generators |
[-24184:855:512] |
Generators of the group modulo torsion |
j |
16384/3 |
j-invariant |
L |
6.5331436169899 |
L(r)(E,1)/r! |
Ω |
0.42678809156369 |
Real period |
R |
7.6538494701826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224fs1 1764i1 9408o1 28224cg1 |
Quadratic twists by: -4 8 -3 -7 |