Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17424bl |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-7040794078162944 = -1 · 212 · 36 · 119 |
Discriminant |
Eigenvalues |
2- 3- 3 0 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127776,-18037712] |
[a1,a2,a3,a4,a6] |
Generators |
[82745460447274911:-183812129731156729:198839249316863] |
Generators of the group modulo torsion |
j |
-32768 |
j-invariant |
L |
6.2480690527975 |
L(r)(E,1)/r! |
Ω |
0.12603087468267 |
Real period |
R |
24.78785086801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1089e2 69696fh2 1936f2 17424bl1 |
Quadratic twists by: -4 8 -3 -11 |