Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11968l |
Isogeny class |
Conductor |
11968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-35494289211392 = -1 · 223 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 0 0 2 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8180,32784] |
[a1,a2,a3,a4,a6] |
j |
230910510375/135399968 |
j-invariant |
L |
1.5818050222872 |
L(r)(E,1)/r! |
Ω |
0.39545125557179 |
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 |
11968d2 2992g2 107712ev2 |
Quadratic twists by: -4 8 -3 |