Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16400b |
Isogeny class |
Conductor |
16400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
656000000 = 210 · 56 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 0 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-275,1250] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:50:1] |
Generators of the group modulo torsion |
j |
143748/41 |
j-invariant |
L |
4.2690073651665 |
L(r)(E,1)/r! |
Ω |
1.5052207455567 |
Real period |
R |
0.70903343874449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8200f1 65600be1 656a1 |
Quadratic twists by: -4 8 5 |