Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160fg |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3292047360000 = 214 · 38 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6492,181424] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:560:1] |
Generators of the group modulo torsion |
j |
2533446736/275625 |
j-invariant |
L |
6.1465578946959 |
L(r)(E,1)/r! |
Ω |
0.77053225038268 |
Real period |
R |
0.99712859060138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20160cd2 5040m2 6720bm2 100800lw2 |
Quadratic twists by: -4 8 -3 5 |