Atkin-Lehner |
2+ 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15504k |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14624861184 = 210 · 32 · 174 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3744,-89244] |
[a1,a2,a3,a4,a6] |
j |
5669532745348/14282091 |
j-invariant |
L |
2.4416401995632 |
L(r)(E,1)/r! |
Ω |
0.61041004989079 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7752g4 62016ch4 46512f4 |
Quadratic twists by: -4 8 -3 |