Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688bp |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2.3994937604625E+20 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -3 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-667592,774507504] |
[a1,a2,a3,a4,a6] |
j |
-1393520833033/10161910296 |
j-invariant |
L |
0.6044174608629 |
L(r)(E,1)/r! |
Ω |
0.15110436520929 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5586p2 44688dt2 |
Quadratic twists by: -4 -7 |