Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9576u |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
117921877145856 = 28 · 312 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13359,283250] |
[a1,a2,a3,a4,a6] |
j |
1412791482832/631868769 |
j-invariant |
L |
2.120396578855 |
L(r)(E,1)/r! |
Ω |
0.53009914471376 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19152t2 76608bg2 3192b2 67032cg2 |
Quadratic twists by: -4 8 -3 -7 |