Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344gj |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
78722482176 = 214 · 37 · 133 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -6 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7644,-256880] |
[a1,a2,a3,a4,a6] |
j |
1882384/3 |
j-invariant |
L |
4.0850834090954 |
L(r)(E,1)/r! |
Ω |
0.51063544305512 |
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 |
97344de2 24336cf2 32448dn2 97344gm2 |
Quadratic twists by: -4 8 -3 13 |