Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10944bi |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
87313158144 = 212 · 310 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4116,100640] |
[a1,a2,a3,a4,a6] |
Generators |
[2:304:1] |
Generators of the group modulo torsion |
j |
2582630848/29241 |
j-invariant |
L |
3.308656874344 |
L(r)(E,1)/r! |
Ω |
1.0803146891586 |
Real period |
R |
1.5313393900627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10944s2 5472f1 3648h2 |
Quadratic twists by: -4 8 -3 |