Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224cr |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.0043156495547E+19 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 2 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,369852,-125510560] |
[a1,a2,a3,a4,a6] |
Generators |
[325417540:6561788940:912673] |
Generators of the group modulo torsion |
j |
15926924096/28588707 |
j-invariant |
L |
7.5436747951273 |
L(r)(E,1)/r! |
Ω |
0.12012105327917 |
Real period |
R |
7.8500755999818 |
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 |
28224cs2 14112bc1 9408t2 4032k2 |
Quadratic twists by: -4 8 -3 -7 |