Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10944y |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-77611696128 = -1 · 215 · 38 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,13552] |
[a1,a2,a3,a4,a6] |
Generators |
[8:108:1] |
Generators of the group modulo torsion |
j |
-125000/3249 |
j-invariant |
L |
4.6517903604014 |
L(r)(E,1)/r! |
Ω |
0.90979125265237 |
Real period |
R |
1.2782576076764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10944k2 5472r2 3648o2 |
Quadratic twists by: -4 8 -3 |