Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224by |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
12646729138176 = 214 · 38 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7644,192080] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:540:1] |
Generators of the group modulo torsion |
j |
35152/9 |
j-invariant |
L |
6.8510283579758 |
L(r)(E,1)/r! |
Ω |
0.66551517730973 |
Real period |
R |
2.5735808106099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28224fv2 3528l2 9408q2 576d2 |
Quadratic twists by: -4 8 -3 -7 |