Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100q |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-16878172500000000 = -1 · 28 · 39 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14175,-6284250] |
[a1,a2,a3,a4,a6] |
Generators |
[399:7182:1] |
Generators of the group modulo torsion |
j |
-11664/625 |
j-invariant |
L |
5.5966852691729 |
L(r)(E,1)/r! |
Ω |
0.17127008598695 |
Real period |
R |
2.7231284226299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44100n2 8820h2 44100r2 |
Quadratic twists by: -3 5 -7 |