Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9576v |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2702844295216128 = 210 · 310 · 73 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5335419,-4743521242] |
[a1,a2,a3,a4,a6] |
j |
22501000029889239268/3620708343 |
j-invariant |
L |
3.1787575480936 |
L(r)(E,1)/r! |
Ω |
0.099336173377925 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19152u3 76608bk4 3192c3 67032ch4 |
Quadratic twists by: -4 8 -3 -7 |