Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952ff |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.017728954403E+26 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9212677131,-340350543590470] |
[a1,a2,a3,a4,a6] |
j |
717647917494305598319/844621814448 |
j-invariant |
L |
0.49312002118011 |
L(r)(E,1)/r! |
Ω |
0.015410017168717 |
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 |
14994cn2 39984ch2 119952gm2 |
Quadratic twists by: -4 -3 -7 |