Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400bx |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-29000000 = -1 · 26 · 56 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 -5 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,262] |
[a1,a2,a3,a4,a6] |
Generators |
[3:16:1] |
Generators of the group modulo torsion |
j |
-64/29 |
j-invariant |
L |
3.9682916735733 |
L(r)(E,1)/r! |
Ω |
1.701018161522 |
Real period |
R |
2.3328920074684 |
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 |
46400bu1 23200g1 1856h1 |
Quadratic twists by: -4 8 5 |