Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8976u |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1082594154774528 = -1 · 219 · 310 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11- -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4224,-1585152] |
[a1,a2,a3,a4,a6] |
Generators |
[197:2278:1] |
Generators of the group modulo torsion |
j |
-2035346265217/264305213568 |
j-invariant |
L |
3.6706029670991 |
L(r)(E,1)/r! |
Ω |
0.21778791133044 |
Real period |
R |
4.213506324428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1122i2 35904ck2 26928bj2 98736cr2 |
Quadratic twists by: -4 8 -3 -11 |