Atkin-Lehner |
2+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
40400b |
Isogeny class |
Conductor |
40400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-522291200 = -1 · 211 · 52 · 1012 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 3 -2 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32,1108] |
[a1,a2,a3,a4,a6] |
Generators |
[54:404:1] |
Generators of the group modulo torsion |
j |
68590/10201 |
j-invariant |
L |
6.0621741687843 |
L(r)(E,1)/r! |
Ω |
1.2694902483763 |
Real period |
R |
0.59691027329026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20200f1 40400h1 |
Quadratic twists by: -4 5 |