Atkin-Lehner |
2+ 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
8010c |
Isogeny class |
Conductor |
8010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-732972430256950440 = -1 · 23 · 330 · 5 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,71235,40517901] |
[a1,a2,a3,a4,a6] |
j |
54836918279008559/1005449149872360 |
j-invariant |
L |
0.85006376633507 |
L(r)(E,1)/r! |
Ω |
0.21251594158377 |
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 |
64080t3 2670f4 40050bb3 |
Quadratic twists by: -4 -3 5 |