Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
112112z |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
123487281741824 = 220 · 77 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20531,998130] |
[a1,a2,a3,a4,a6] |
Generators |
[119:490:1] |
Generators of the group modulo torsion |
j |
1986121593/256256 |
j-invariant |
L |
3.9202449663808 |
L(r)(E,1)/r! |
Ω |
0.56657990865436 |
Real period |
R |
1.7297846726363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14014d1 16016g1 |
Quadratic twists by: -4 -7 |