Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424bc |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3041623041766391808 = 216 · 39 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1519155,-715793166] |
[a1,a2,a3,a4,a6] |
Generators |
[-256487:492470:343] |
Generators of the group modulo torsion |
j |
2714704875/21296 |
j-invariant |
L |
5.5781468537607 |
L(r)(E,1)/r! |
Ω |
0.13605185567369 |
Real period |
R |
5.1250190838444 |
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 |
2178a3 69696ee3 17424bd1 1584j3 |
Quadratic twists by: -4 8 -3 -11 |