Atkin-Lehner |
2+ 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10944b |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-465670176768 = -1 · 216 · 39 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -2 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1620,21168] |
[a1,a2,a3,a4,a6] |
Generators |
[52:496:1] |
Generators of the group modulo torsion |
j |
364500/361 |
j-invariant |
L |
4.5780744213414 |
L(r)(E,1)/r! |
Ω |
0.61613138856586 |
Real period |
R |
3.7151770761084 |
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 |
10944bq2 1368b2 10944a2 |
Quadratic twists by: -4 8 -3 |