Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160bu |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-2116316160 = -1 · 210 · 310 · 5 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,312,-632] |
[a1,a2,a3,a4,a6] |
Generators |
[18:104:1] |
Generators of the group modulo torsion |
j |
4499456/2835 |
j-invariant |
L |
4.5530882050031 |
L(r)(E,1)/r! |
Ω |
0.84346434421835 |
Real period |
R |
2.6990401172337 |
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 |
20160dv1 2520j1 6720bd1 100800ec1 |
Quadratic twists by: -4 8 -3 5 |