Atkin-Lehner |
2- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
46400ck |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
59392000 = 214 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 0 5- 2 0 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220,1200] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:48:1] |
Generators of the group modulo torsion |
j |
574992/29 |
j-invariant |
L |
6.0007941059129 |
L(r)(E,1)/r! |
Ω |
1.9506266271719 |
Real period |
R |
1.5381708683537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46400bc1 11600l1 46400cl1 |
Quadratic twists by: -4 8 5 |