Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880bg |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16156800 |
Modular degree for the optimal curve |
Δ |
-1.7584918423142E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11+ 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1186515736,-15731972002064] |
[a1,a2,a3,a4,a6] |
Generators |
[121245516647713770516068106303114618577172:-27368414248373519774580555398097443675894784:1711578035386752243478471910613870919] |
Generators of the group modulo torsion |
j |
-45100802713464654722769650329/4293192974400000000000 |
j-invariant |
L |
3.2437396320907 |
L(r)(E,1)/r! |
Ω |
0.012861709703951 |
Real period |
R |
63.050319645572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5610p1 |
Quadratic twists by: -4 |