Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9912k |
Isogeny class |
Conductor |
9912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-20627310348288 = -1 · 211 · 310 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2688,225900] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:504:1] |
Generators of the group modulo torsion |
j |
-1049163349250/10071928881 |
j-invariant |
L |
4.2179322367761 |
L(r)(E,1)/r! |
Ω |
0.58253796445537 |
Real period |
R |
3.6203067389089 |
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 |
19824g2 79296ba2 29736h2 69384bb2 |
Quadratic twists by: -4 8 -3 -7 |