Atkin-Lehner |
3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7581c |
Isogeny class |
Conductor |
7581 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
139438839901168143 = 32 · 7 · 1912 |
Discriminant |
Eigenvalues |
1 3+ 4 7+ -2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-168233,-19630830] |
[a1,a2,a3,a4,a6] |
j |
11192824869409/2963890503 |
j-invariant |
L |
1.9230525084419 |
L(r)(E,1)/r! |
Ω |
0.24038156355523 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296dl2 22743o2 53067s2 399c2 |
Quadratic twists by: -4 -3 -7 -19 |