Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160cx |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2904249600000000 = 214 · 33 · 58 · 75 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1073148,427887472] |
[a1,a2,a3,a4,a6] |
Generators |
[584:588:1] |
Generators of the group modulo torsion |
j |
308971819397054448/6565234375 |
j-invariant |
L |
5.2664863262885 |
L(r)(E,1)/r! |
Ω |
0.41707780321502 |
Real period |
R |
1.2627107665985 |
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 |
20160b2 5040f2 20160di2 100800iw2 |
Quadratic twists by: -4 8 -3 5 |