Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
46400g |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-23756800 = -1 · 215 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 2 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-257] |
[a1,a2,a3,a4,a6] |
Generators |
[9:16:1] |
Generators of the group modulo torsion |
j |
-5000/29 |
j-invariant |
L |
3.4524532671685 |
L(r)(E,1)/r! |
Ω |
0.89024173016087 |
Real period |
R |
1.9390538267316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400e1 23200b1 46400be1 |
Quadratic twists by: -4 8 5 |