Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
40584bc |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-52705953792 = -1 · 211 · 32 · 192 · 892 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1648,-28576] |
[a1,a2,a3,a4,a6] |
Generators |
[1807483:12479580:24389] |
Generators of the group modulo torsion |
j |
-241840417250/25735329 |
j-invariant |
L |
6.9274160173526 |
L(r)(E,1)/r! |
Ω |
0.37239622048841 |
Real period |
R |
9.3011363115696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81168b2 121752p2 |
Quadratic twists by: -4 -3 |