Atkin-Lehner |
2+ 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7224f |
Isogeny class |
Conductor |
7224 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
4550079744 = 28 · 310 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1524,-23184] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:12:1] |
Generators of the group modulo torsion |
j |
1530113288272/17773749 |
j-invariant |
L |
4.1553346748069 |
L(r)(E,1)/r! |
Ω |
0.76460036963782 |
Real period |
R |
1.0869298106082 |
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 |
14448c2 57792e2 21672m2 50568g2 |
Quadratic twists by: -4 8 -3 -7 |