Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17424a |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
130385075521536 = 211 · 33 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171699,-27378670] |
[a1,a2,a3,a4,a6] |
Generators |
[99583:31424910:1] |
Generators of the group modulo torsion |
j |
4293378 |
j-invariant |
L |
6.2592160528354 |
L(r)(E,1)/r! |
Ω |
0.23453825164523 |
Real period |
R |
6.6718499103327 |
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 |
8712a2 69696dw2 17424c2 17424b2 |
Quadratic twists by: -4 8 -3 -11 |