Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100by |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
187535250000 = 24 · 37 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2100,30625] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-225:1] [-40:225:1] |
Generators of the group modulo torsion |
j |
16384/3 |
j-invariant |
L |
9.0293841392368 |
L(r)(E,1)/r! |
Ω |
0.96041463996567 |
Real period |
R |
0.39173115806351 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bg1 1764g1 44100bv1 |
Quadratic twists by: -3 5 -7 |