Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46368bi |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-3895644243456 = -1 · 29 · 39 · 75 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -2 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4779,-158706] |
[a1,a2,a3,a4,a6] |
Generators |
[201:-2646:1] |
Generators of the group modulo torsion |
j |
-1197770328/386561 |
j-invariant |
L |
4.6092928023878 |
L(r)(E,1)/r! |
Ω |
0.2824580935878 |
Real period |
R |
0.81592507119205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46368be1 92736dk1 46368h1 |
Quadratic twists by: -4 8 -3 |