Atkin-Lehner |
2- 3+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
73944p |
Isogeny class |
Conductor |
73944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
5767632 = 24 · 33 · 132 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66,-171] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:3:1] [22:95:1] |
Generators of the group modulo torsion |
j |
73598976/13351 |
j-invariant |
L |
9.0098470194125 |
L(r)(E,1)/r! |
Ω |
1.6959062149222 |
Real period |
R |
2.6563517900301 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73944e1 |
Quadratic twists by: -3 |