Atkin-Lehner |
2- 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168by |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
323205894144 = 212 · 36 · 72 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3449,74169] |
[a1,a2,a3,a4,a6] |
j |
1108075264192/78907689 |
j-invariant |
L |
1.8911416410782 |
L(r)(E,1)/r! |
Ω |
0.94557081973568 |
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 |
63168dr2 31584w1 |
Quadratic twists by: -4 8 |