Atkin-Lehner |
2- 3+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
97284g |
Isogeny class |
Conductor |
97284 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.4257267478156E+24 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71720612,226639202088] |
[a1,a2,a3,a4,a6] |
j |
89962103645741621968/3143693673915003 |
j-invariant |
L |
2.0325695640133 |
L(r)(E,1)/r! |
Ω |
0.084690409823371 |
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 |
8844b2 |
Quadratic twists by: -11 |