Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424z |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
31814497208558592 = 210 · 313 · 117 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 11- 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8729787,9927809210] |
[a1,a2,a3,a4,a6] |
Generators |
[1699:486:1] |
Generators of the group modulo torsion |
j |
55635379958596/24057 |
j-invariant |
L |
2.8417450963223 |
L(r)(E,1)/r! |
Ω |
0.30140534916912 |
Real period |
R |
1.1785395913493 |
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 |
8712n1 69696hb1 5808g1 1584e1 |
Quadratic twists by: -4 8 -3 -11 |