Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16720n |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-53504000 = -1 · 211 · 53 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 11+ -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,352] |
[a1,a2,a3,a4,a6] |
Generators |
[4:20:1] |
Generators of the group modulo torsion |
j |
-2/26125 |
j-invariant |
L |
3.4475067725374 |
L(r)(E,1)/r! |
Ω |
1.584217194182 |
Real period |
R |
0.18134649219808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8360p1 66880ci1 83600i1 |
Quadratic twists by: -4 8 5 |