Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176i |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
170250898132224 = 28 · 39 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168831,-26693550] |
[a1,a2,a3,a4,a6] |
j |
21882096/7 |
j-invariant |
L |
1.8842339303229 |
L(r)(E,1)/r! |
Ω |
0.23552924715661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85176bn2 504d2 |
Quadratic twists by: -3 13 |