Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336bw |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-94176310984704 = -1 · 220 · 312 · 132 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -6 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8931,568802] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:846:1] |
Generators of the group modulo torsion |
j |
-156116857/186624 |
j-invariant |
L |
6.7737191061112 |
L(r)(E,1)/r! |
Ω |
0.54432332381823 |
Real period |
R |
3.1110733316533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3042e1 97344fy1 8112v1 24336bz1 |
Quadratic twists by: -4 8 -3 13 |