Atkin-Lehner |
2- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
44240j |
Isogeny class |
Conductor |
44240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5541474369536000000 = -1 · 221 · 56 · 73 · 793 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36864,113213440] |
[a1,a2,a3,a4,a6] |
j |
1352568769155071/1352899016000000 |
j-invariant |
L |
0.75261887089754 |
L(r)(E,1)/r! |
Ω |
0.18815471774138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5530j2 |
Quadratic twists by: -4 |