Atkin-Lehner |
2+ 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27888f |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
251987936256 = 210 · 36 · 72 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1792,-17020] |
[a1,a2,a3,a4,a6] |
j |
621842070532/246081969 |
j-invariant |
L |
4.5547544456017 |
L(r)(E,1)/r! |
Ω |
0.7591257409336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13944d2 111552cg2 83664q2 |
Quadratic twists by: -4 8 -3 |