Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696g |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1571086281904128 = 212 · 39 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-196020,33349536] |
[a1,a2,a3,a4,a6] |
j |
5832000/11 |
j-invariant |
L |
3.8078956247628 |
L(r)(E,1)/r! |
Ω |
0.47598695268396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696m2 34848bi1 69696h2 6336h2 |
Quadratic twists by: -4 8 -3 -11 |