Atkin-Lehner |
2+ 3- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40584g |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-2499718558464 = -1 · 28 · 36 · 19 · 893 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 -3 -1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8996,334128] |
[a1,a2,a3,a4,a6] |
Generators |
[124:1068:1] |
Generators of the group modulo torsion |
j |
-314543244794704/9764525619 |
j-invariant |
L |
6.1132002130584 |
L(r)(E,1)/r! |
Ω |
0.81013795419279 |
Real period |
R |
0.20960765527714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168r1 121752y1 |
Quadratic twists by: -4 -3 |