Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224cd |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-40486395547680768 = -1 · 216 · 37 · 710 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,84084,2376304] |
[a1,a2,a3,a4,a6] |
Generators |
[872:27180:1] |
Generators of the group modulo torsion |
j |
11696828/7203 |
j-invariant |
L |
4.6132662880026 |
L(r)(E,1)/r! |
Ω |
0.22393464543507 |
Real period |
R |
5.1502373371478 |
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 |
28224ga3 3528x4 9408bd4 4032f4 |
Quadratic twists by: -4 8 -3 -7 |