Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320t |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-37454400 = -1 · 26 · 34 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,80,82] |
[a1,a2,a3,a4,a6] |
Generators |
[19:90:1] |
Generators of the group modulo torsion |
j |
873722816/585225 |
j-invariant |
L |
3.3046379075705 |
L(r)(E,1)/r! |
Ω |
1.2902380988847 |
Real period |
R |
1.280631036406 |
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 |
16320bm1 8160e2 48960br1 81600df1 |
Quadratic twists by: -4 8 -3 5 |