Atkin-Lehner |
2+ 3- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8178g |
Isogeny class |
Conductor |
8178 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1640826167256 = 23 · 34 · 293 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 0 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7937,-265732] |
[a1,a2,a3,a4,a6] |
j |
55285875823783177/1640826167256 |
j-invariant |
L |
2.0269373406689 |
L(r)(E,1)/r! |
Ω |
0.50673433516722 |
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 |
65424h2 24534w2 |
Quadratic twists by: -4 -3 |