Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224by |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16862305517568 = 216 · 37 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-113484,14713328] |
[a1,a2,a3,a4,a6] |
Generators |
[1096:34740:1] |
Generators of the group modulo torsion |
j |
28756228/3 |
j-invariant |
L |
6.8510283579758 |
L(r)(E,1)/r! |
Ω |
0.66551517730973 |
Real period |
R |
5.1471616212197 |
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 |
28224fv4 3528l4 9408q3 576d3 |
Quadratic twists by: -4 8 -3 -7 |