Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
44180d |
Isogeny class |
Conductor |
44180 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
676800 |
Modular degree for the optimal curve |
Δ |
1190564333088050000 = 24 · 55 · 478 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 3 4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-276861,-19791740] |
[a1,a2,a3,a4,a6] |
Generators |
[736:13254:1] |
Generators of the group modulo torsion |
j |
6160384/3125 |
j-invariant |
L |
3.4910223241502 |
L(r)(E,1)/r! |
Ω |
0.21961130278807 |
Real period |
R |
1.7662632315677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44180i1 |
Quadratic twists by: -47 |