Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69696fb |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3974344704 = -1 · 212 · 36 · 113 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,396,0] |
[a1,a2,a3,a4,a6] |
Generators |
[48:360:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
7.6138792595228 |
L(r)(E,1)/r! |
Ω |
0.83125337497326 |
Real period |
R |
2.2898792017234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696fb2 34848l1 7744o2 69696fc2 |
Quadratic twists by: -4 8 -3 -11 |