Atkin-Lehner |
2- 3- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
73944bb |
Isogeny class |
Conductor |
73944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7474851072 = 28 · 37 · 132 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 2 6 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11415,469402] |
[a1,a2,a3,a4,a6] |
Generators |
[23:468:1] |
Generators of the group modulo torsion |
j |
881422162000/40053 |
j-invariant |
L |
7.7833191933227 |
L(r)(E,1)/r! |
Ω |
1.2428352433668 |
Real period |
R |
0.78281888483052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24648j2 |
Quadratic twists by: -3 |