Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560cx |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
22993943040000 = 212 · 38 · 54 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66612,-6613216] |
[a1,a2,a3,a4,a6] |
Generators |
[338:3080:1] |
Generators of the group modulo torsion |
j |
10946963145664/7700625 |
j-invariant |
L |
9.3707692248183 |
L(r)(E,1)/r! |
Ω |
0.29718697727228 |
Real period |
R |
3.941445094761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994072 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106560cy2 53280bq1 35520d2 |
Quadratic twists by: -4 8 -3 |