Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352co |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-3.9674322632192E+23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19226604,44399638960] |
[a1,a2,a3,a4,a6] |
j |
-8226100326647904626/4152140742401883 |
j-invariant |
L |
4.2409935450154 |
L(r)(E,1)/r! |
Ω |
0.088354032182331 |
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 |
44352dl3 5544t4 14784bf4 |
Quadratic twists by: -4 8 -3 |