Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40584m |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-345803762829312 = -1 · 211 · 310 · 192 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-136928,19568556] |
[a1,a2,a3,a4,a6] |
Generators |
[997:29548:1] |
Generators of the group modulo torsion |
j |
-138635267880973250/168849493569 |
j-invariant |
L |
4.9624962516713 |
L(r)(E,1)/r! |
Ω |
0.53792036649509 |
Real period |
R |
4.6126681203801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81168ba2 121752c2 |
Quadratic twists by: -4 -3 |