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 |
-4.2353264361551E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3059724,2285625328] |
[a1,a2,a3,a4,a6] |
Generators |
[749:20349:1] |
Generators of the group modulo torsion |
j |
-16576888679672833/2216253521952 |
j-invariant |
L |
5.0839133985412 |
L(r)(E,1)/r! |
Ω |
0.16251496469826 |
Real period |
R |
3.9103425090578 |
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 |
10944bz4 342f4 3648r4 |
Quadratic twists by: -4 8 -3 |