Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696gq |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2793042278940672 = 216 · 37 · 117 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3068076,-2068459184] |
[a1,a2,a3,a4,a6] |
j |
37736227588/33 |
j-invariant |
L |
3.6503375707432 |
L(r)(E,1)/r! |
Ω |
0.11407304883571 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696cx4 17424u3 23232dq4 6336ck4 |
Quadratic twists by: -4 8 -3 -11 |