Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8976l |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
156254208 = 214 · 3 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3168,-67584] |
[a1,a2,a3,a4,a6] |
j |
858729462625/38148 |
j-invariant |
L |
1.2726910538718 |
L(r)(E,1)/r! |
Ω |
0.6363455269359 |
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 |
1122l1 35904ct1 26928bq1 98736ch1 |
Quadratic twists by: -4 8 -3 -11 |