Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11968a |
Isogeny class |
Conductor |
11968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-554598268928 = -1 · 217 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 0 -4 2 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2572,61680] |
[a1,a2,a3,a4,a6] |
Generators |
[8:204:1] |
Generators of the group modulo torsion |
j |
-14355776178/4231249 |
j-invariant |
L |
3.2552014606378 |
L(r)(E,1)/r! |
Ω |
0.87403810685912 |
Real period |
R |
1.8621622072837 |
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 |
11968t2 1496c2 107712cq2 |
Quadratic twists by: -4 8 -3 |