Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11968t |
Isogeny class |
Conductor |
11968 |
Conductor |
∏ cp |
32 |
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 |
[82:528:1] |
Generators of the group modulo torsion |
j |
-14355776178/4231249 |
j-invariant |
L |
2.6932472913269 |
L(r)(E,1)/r! |
Ω |
0.33018013671635 |
Real period |
R |
1.0196128536499 |
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 |
11968a2 2992a2 107712ee2 |
Quadratic twists by: -4 8 -3 |