Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800nt |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-132269760000000000 = -1 · 215 · 310 · 510 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-17498000] |
[a1,a2,a3,a4,a6] |
j |
-8/354375 |
j-invariant |
L |
2.4105831336094 |
L(r)(E,1)/r! |
Ω |
0.15066144272305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800mf3 50400dx2 33600gx3 20160eu4 |
Quadratic twists by: -4 8 -3 5 |