Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7224i |
Isogeny class |
Conductor |
7224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
174763008 = 210 · 34 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-896,-10608] |
[a1,a2,a3,a4,a6] |
j |
77773635076/170667 |
j-invariant |
L |
3.4905946591726 |
L(r)(E,1)/r! |
Ω |
0.87264866479315 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14448d2 57792i2 21672d2 50568q2 |
Quadratic twists by: -4 8 -3 -7 |