Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100by |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9001692000000 = 28 · 38 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9975,-355250] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:162:1] [-49:126:1] |
Generators of the group modulo torsion |
j |
109744/9 |
j-invariant |
L |
9.0293841392368 |
L(r)(E,1)/r! |
Ω |
0.48020731998283 |
Real period |
R |
1.5669246322541 |
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 |
14700bg2 1764g2 44100bv2 |
Quadratic twists by: -3 5 -7 |