Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100do |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-168852050718750000 = -1 · 24 · 38 · 59 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,73500,-18221875] |
[a1,a2,a3,a4,a6] |
Generators |
[723856:-2192211:4096] |
Generators of the group modulo torsion |
j |
16384/63 |
j-invariant |
L |
5.2069458200116 |
L(r)(E,1)/r! |
Ω |
0.16347726901171 |
Real period |
R |
7.9627979037869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700u1 44100dp1 6300x1 |
Quadratic twists by: -3 5 -7 |