Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
14200f |
Isogeny class |
Conductor |
14200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
2272000000 = 211 · 56 · 71 |
Discriminant |
Eigenvalues |
2- 1 5+ -5 2 1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1808,-30112] |
[a1,a2,a3,a4,a6] |
Generators |
[-699:100:27] |
Generators of the group modulo torsion |
j |
20436626/71 |
j-invariant |
L |
4.5957660273981 |
L(r)(E,1)/r! |
Ω |
0.73226901992319 |
Real period |
R |
3.1380311759469 |
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 |
28400c1 113600bd1 127800m1 568a1 |
Quadratic twists by: -4 8 -3 5 |