Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224cp |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
36578304 = 210 · 36 · 72 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5124,-141176] |
[a1,a2,a3,a4,a6] |
Generators |
[-203235:1651:4913] |
Generators of the group modulo torsion |
j |
406749952 |
j-invariant |
L |
3.9032064161159 |
L(r)(E,1)/r! |
Ω |
0.56428348318423 |
Real period |
R |
6.91710201066 |
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 |
28224gh2 1764j2 3136f2 28224bf2 |
Quadratic twists by: -4 8 -3 -7 |