Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8976l |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-745098190848 = -1 · 213 · 32 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3008,-74880] |
[a1,a2,a3,a4,a6] |
j |
-735091890625/181908738 |
j-invariant |
L |
1.2726910538718 |
L(r)(E,1)/r! |
Ω |
0.31817276346795 |
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 |
1122l2 35904ct2 26928bq2 98736ch2 |
Quadratic twists by: -4 8 -3 -11 |