Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16720d |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
54601250000 = 24 · 57 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 11+ -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26111,1632686] |
[a1,a2,a3,a4,a6] |
Generators |
[12318:123299:216] |
Generators of the group modulo torsion |
j |
123052623197108224/3412578125 |
j-invariant |
L |
6.8961400319839 |
L(r)(E,1)/r! |
Ω |
1.0401074764602 |
Real period |
R |
6.6302186918737 |
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 |
8360n1 66880dv1 83600f1 |
Quadratic twists by: -4 8 5 |