Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
44100ba |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-84050798580000000 = -1 · 28 · 36 · 57 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77175,16206750] |
[a1,a2,a3,a4,a6] |
Generators |
[490:9800:1] |
Generators of the group modulo torsion |
j |
-3024/5 |
j-invariant |
L |
6.6355161137085 |
L(r)(E,1)/r! |
Ω |
0.30577913020435 |
Real period |
R |
1.8083630356762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4900c1 8820t1 44100bq1 |
Quadratic twists by: -3 5 -7 |