Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
46368be |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
2 |
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 |
[-66:432:1] |
Generators of the group modulo torsion |
j |
-1197770328/386561 |
j-invariant |
L |
4.5985281875487 |
L(r)(E,1)/r! |
Ω |
0.740912260885 |
Real period |
R |
3.1032879534455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46368bi1 92736de1 46368b1 |
Quadratic twists by: -4 8 -3 |