Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10944bg |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
51499396189126656 = 228 · 312 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3151884,2153762800] |
[a1,a2,a3,a4,a6] |
Generators |
[446020:23827608:125] |
Generators of the group modulo torsion |
j |
18120364883707393/269485056 |
j-invariant |
L |
5.0839133985412 |
L(r)(E,1)/r! |
Ω |
0.32502992939653 |
Real period |
R |
7.8206850181157 |
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 |
10944bz2 342f2 3648r2 |
Quadratic twists by: -4 8 -3 |